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Finding the Fourth Proportional to 10,586.40, 14,566.32 and 8,691

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Solution

The fourth proportional to 10,586.40, 14,566.32 and 8,691 is: 11,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.40 : 14,566.32 = 8,691 : x
  2. Step 2: Convert to fraction form
    10,586.40/14,566.32 = 8,691/x
  3. Step 3: Cross multiply
    10,586.40x = 14,566.32 × 8,691
  4. Step 4: Simplify right side
    10,586.40x = 126,595,887.12
  5. Step 5: Solve for x
    x = 126,595,887.12/10,586.40
  6. Step 6: Final answer
    x = 11,958.35

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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.