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Finding the Fourth Proportional to 10,264.79, 15,397.83 and 4,340.57

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Solution

The fourth proportional to 10,264.79, 15,397.83 and 4,340.57 is: 6,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.79 : 15,397.83 = 4,340.57 : x
  2. Step 2: Convert to fraction form
    10,264.79/15,397.83 = 4,340.57/x
  3. Step 3: Cross multiply
    10,264.79x = 15,397.83 × 4,340.57
  4. Step 4: Simplify right side
    10,264.79x = 66,835,281.97
  5. Step 5: Solve for x
    x = 66,835,281.97/10,264.79
  6. Step 6: Final answer
    x = 6,511.12

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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.