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Finding the Fourth Proportional to 10,513.60, 15,770.40 and 8,634.40

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Solution

The fourth proportional to 10,513.60, 15,770.40 and 8,634.40 is: 12,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.60 : 15,770.40 = 8,634.40 : x
  2. Step 2: Convert to fraction form
    10,513.60/15,770.40 = 8,634.40/x
  3. Step 3: Cross multiply
    10,513.60x = 15,770.40 × 8,634.40
  4. Step 4: Simplify right side
    10,513.60x = 136,167,941.76
  5. Step 5: Solve for x
    x = 136,167,941.76/10,513.60
  6. Step 6: Final answer
    x = 12,951.60

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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.