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Finding the Fourth Proportional to 11,543.43, 15,928.97 and 6,508.89

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Solution

The fourth proportional to 11,543.43, 15,928.97 and 6,508.89 is: 8,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.43 : 15,928.97 = 6,508.89 : x
  2. Step 2: Convert to fraction form
    11,543.43/15,928.97 = 6,508.89/x
  3. Step 3: Cross multiply
    11,543.43x = 15,928.97 × 6,508.89
  4. Step 4: Simplify right side
    11,543.43x = 103,679,881.00
  5. Step 5: Solve for x
    x = 103,679,881.00/11,543.43
  6. Step 6: Final answer
    x = 8,981.72

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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.