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Finding the Fourth Proportional to 8,177.64, 11,281.71 and 5,032

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Solution

The fourth proportional to 8,177.64, 11,281.71 and 5,032 is: 6,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.64 : 11,281.71 = 5,032 : x
  2. Step 2: Convert to fraction form
    8,177.64/11,281.71 = 5,032/x
  3. Step 3: Cross multiply
    8,177.64x = 11,281.71 × 5,032
  4. Step 4: Simplify right side
    8,177.64x = 56,769,564.72
  5. Step 5: Solve for x
    x = 56,769,564.72/8,177.64
  6. Step 6: Final answer
    x = 6,942.05

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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.