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Finding the Fourth Proportional to 7,666.47, 11,489.45 and 4,101.27

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Solution

The fourth proportional to 7,666.47, 11,489.45 and 4,101.27 is: 6,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.47 : 11,489.45 = 4,101.27 : x
  2. Step 2: Convert to fraction form
    7,666.47/11,489.45 = 4,101.27/x
  3. Step 3: Cross multiply
    7,666.47x = 11,489.45 × 4,101.27
  4. Step 4: Simplify right side
    7,666.47x = 47,121,336.60
  5. Step 5: Solve for x
    x = 47,121,336.60/7,666.47
  6. Step 6: Final answer
    x = 6,146.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.