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Finding the Fourth Proportional to 7,558.25, 10,432.97 and 4,689.17

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Solution

The fourth proportional to 7,558.25, 10,432.97 and 4,689.17 is: 6,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.25 : 10,432.97 = 4,689.17 : x
  2. Step 2: Convert to fraction form
    7,558.25/10,432.97 = 4,689.17/x
  3. Step 3: Cross multiply
    7,558.25x = 10,432.97 × 4,689.17
  4. Step 4: Simplify right side
    7,558.25x = 48,921,946.49
  5. Step 5: Solve for x
    x = 48,921,946.49/7,558.25
  6. Step 6: Final answer
    x = 6,472.66

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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.