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Finding the Fourth Proportional to 7,896.20, 11,849.70 and 4,386.20

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Solution

The fourth proportional to 7,896.20, 11,849.70 and 4,386.20 is: 6,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.20 : 11,849.70 = 4,386.20 : x
  2. Step 2: Convert to fraction form
    7,896.20/11,849.70 = 4,386.20/x
  3. Step 3: Cross multiply
    7,896.20x = 11,849.70 × 4,386.20
  4. Step 4: Simplify right side
    7,896.20x = 51,975,154.14
  5. Step 5: Solve for x
    x = 51,975,154.14/7,896.20
  6. Step 6: Final answer
    x = 6,582.30

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