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Finding the Fourth Proportional to 10,914.22, 15,045.70 and 8,677

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Solution

The fourth proportional to 10,914.22, 15,045.70 and 8,677 is: 11,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.22 : 15,045.70 = 8,677 : x
  2. Step 2: Convert to fraction form
    10,914.22/15,045.70 = 8,677/x
  3. Step 3: Cross multiply
    10,914.22x = 15,045.70 × 8,677
  4. Step 4: Simplify right side
    10,914.22x = 130,551,538.90
  5. Step 5: Solve for x
    x = 130,551,538.90/10,914.22
  6. Step 6: Final answer
    x = 11,961.60

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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.