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Finding the Fourth Proportional to 7,358.40, 11,037.96 and 2,428.47

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Solution

The fourth proportional to 7,358.40, 11,037.96 and 2,428.47 is: 3,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.40 : 11,037.96 = 2,428.47 : x
  2. Step 2: Convert to fraction form
    7,358.40/11,037.96 = 2,428.47/x
  3. Step 3: Cross multiply
    7,358.40x = 11,037.96 × 2,428.47
  4. Step 4: Simplify right side
    7,358.40x = 26,805,354.72
  5. Step 5: Solve for x
    x = 26,805,354.72/7,358.40
  6. Step 6: Final answer
    x = 3,642.82

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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.