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Finding the Fourth Proportional to 7,315.29, 10,098.14 and 5,340.78

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Solution

The fourth proportional to 7,315.29, 10,098.14 and 5,340.78 is: 7,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.29 : 10,098.14 = 5,340.78 : x
  2. Step 2: Convert to fraction form
    7,315.29/10,098.14 = 5,340.78/x
  3. Step 3: Cross multiply
    7,315.29x = 10,098.14 × 5,340.78
  4. Step 4: Simplify right side
    7,315.29x = 53,931,917.45
  5. Step 5: Solve for x
    x = 53,931,917.45/7,315.29
  6. Step 6: Final answer
    x = 7,372.49

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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.