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Finding the Fourth Proportional to 10,155.74, 15,237.24 and 7,377.70

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Solution

The fourth proportional to 10,155.74, 15,237.24 and 7,377.70 is: 11,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.74 : 15,237.24 = 7,377.70 : x
  2. Step 2: Convert to fraction form
    10,155.74/15,237.24 = 7,377.70/x
  3. Step 3: Cross multiply
    10,155.74x = 15,237.24 × 7,377.70
  4. Step 4: Simplify right side
    10,155.74x = 112,415,785.55
  5. Step 5: Solve for x
    x = 112,415,785.55/10,155.74
  6. Step 6: Final answer
    x = 11,069.19

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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.