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Finding the Fourth Proportional to 10,666.60, 14,717.64 and 6,189.78

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Solution

The fourth proportional to 10,666.60, 14,717.64 and 6,189.78 is: 8,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.60 : 14,717.64 = 6,189.78 : x
  2. Step 2: Convert to fraction form
    10,666.60/14,717.64 = 6,189.78/x
  3. Step 3: Cross multiply
    10,666.60x = 14,717.64 × 6,189.78
  4. Step 4: Simplify right side
    10,666.60x = 91,098,953.72
  5. Step 5: Solve for x
    x = 91,098,953.72/10,666.60
  6. Step 6: Final answer
    x = 8,540.58

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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.