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Finding the Fourth Proportional to 10,913.60, 16,348.84 and 8,561.89

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Solution

The fourth proportional to 10,913.60, 16,348.84 and 8,561.89 is: 12,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.60 : 16,348.84 = 8,561.89 : x
  2. Step 2: Convert to fraction form
    10,913.60/16,348.84 = 8,561.89/x
  3. Step 3: Cross multiply
    10,913.60x = 16,348.84 × 8,561.89
  4. Step 4: Simplify right side
    10,913.60x = 139,976,969.71
  5. Step 5: Solve for x
    x = 139,976,969.71/10,913.60
  6. Step 6: Final answer
    x = 12,825.92

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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.