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Finding the Fourth Proportional to 10,497.52, 15,746.32 and 4,257.66

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Solution

The fourth proportional to 10,497.52, 15,746.32 and 4,257.66 is: 6,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.52 : 15,746.32 = 4,257.66 : x
  2. Step 2: Convert to fraction form
    10,497.52/15,746.32 = 4,257.66/x
  3. Step 3: Cross multiply
    10,497.52x = 15,746.32 × 4,257.66
  4. Step 4: Simplify right side
    10,497.52x = 67,042,476.81
  5. Step 5: Solve for x
    x = 67,042,476.81/10,497.52
  6. Step 6: Final answer
    x = 6,386.51

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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.