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Finding the Fourth Proportional to 7,779,648.48, 10,723,065.30 and 5,200,388.16

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Solution

The fourth proportional to 7,779,648.48, 10,723,065.30 and 5,200,388.16 is: 7,167,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779,648.48 : 10,723,065.30 = 5,200,388.16 : x
  2. Step 2: Convert to fraction form
    7,779,648.48/10,723,065.30 = 5,200,388.16/x
  3. Step 3: Cross multiply
    7,779,648.48x = 10,723,065.30 × 5,200,388.16
  4. Step 4: Simplify right side
    7,779,648.48x = 55,764,101,825,026.85
  5. Step 5: Solve for x
    x = 55,764,101,825,026.85/7,779,648.48
  6. Step 6: Final answer
    x = 7,167,946.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.