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Finding the Fourth Proportional to 7,779.74, 11,670.17 and 3,833.10

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Solution

The fourth proportional to 7,779.74, 11,670.17 and 3,833.10 is: 5,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.74 : 11,670.17 = 3,833.10 : x
  2. Step 2: Convert to fraction form
    7,779.74/11,670.17 = 3,833.10/x
  3. Step 3: Cross multiply
    7,779.74x = 11,670.17 × 3,833.10
  4. Step 4: Simplify right side
    7,779.74x = 44,732,909.46
  5. Step 5: Solve for x
    x = 44,732,909.46/7,779.74
  6. Step 6: Final answer
    x = 5,749.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.