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Finding the Fourth Proportional to 10,666.59, 14,717.60 and 6,189.77

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Solution

The fourth proportional to 10,666.59, 14,717.60 and 6,189.77 is: 8,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.59 : 14,717.60 = 6,189.77 : x
  2. Step 2: Convert to fraction form
    10,666.59/14,717.60 = 6,189.77/x
  3. Step 3: Cross multiply
    10,666.59x = 14,717.60 × 6,189.77
  4. Step 4: Simplify right side
    10,666.59x = 91,098,505.22
  5. Step 5: Solve for x
    x = 91,098,505.22/10,666.59
  6. Step 6: Final answer
    x = 8,540.55

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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.