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Finding the Fourth Proportional to 11,543.25, 15,931.24 and 6,508.49

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Solution

The fourth proportional to 11,543.25, 15,931.24 and 6,508.49 is: 8,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.25 : 15,931.24 = 6,508.49 : x
  2. Step 2: Convert to fraction form
    11,543.25/15,931.24 = 6,508.49/x
  3. Step 3: Cross multiply
    11,543.25x = 15,931.24 × 6,508.49
  4. Step 4: Simplify right side
    11,543.25x = 103,688,339.78
  5. Step 5: Solve for x
    x = 103,688,339.78/11,543.25
  6. Step 6: Final answer
    x = 8,982.60

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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.