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Finding the Fourth Proportional to 10,264.68, 15,340.72 and 7,497.18

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Solution

The fourth proportional to 10,264.68, 15,340.72 and 7,497.18 is: 11,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.68 : 15,340.72 = 7,497.18 : x
  2. Step 2: Convert to fraction form
    10,264.68/15,340.72 = 7,497.18/x
  3. Step 3: Cross multiply
    10,264.68x = 15,340.72 × 7,497.18
  4. Step 4: Simplify right side
    10,264.68x = 115,012,120.43
  5. Step 5: Solve for x
    x = 115,012,120.43/10,264.68
  6. Step 6: Final answer
    x = 11,204.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.