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Finding the Fourth Proportional to 10,606.34, 14,645.61 and 8,847.17

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Solution

The fourth proportional to 10,606.34, 14,645.61 and 8,847.17 is: 12,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.34 : 14,645.61 = 8,847.17 : x
  2. Step 2: Convert to fraction form
    10,606.34/14,645.61 = 8,847.17/x
  3. Step 3: Cross multiply
    10,606.34x = 14,645.61 × 8,847.17
  4. Step 4: Simplify right side
    10,606.34x = 129,572,265.50
  5. Step 5: Solve for x
    x = 129,572,265.50/10,606.34
  6. Step 6: Final answer
    x = 12,216.49

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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.