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Finding the Fourth Proportional to 8,432.11, 11,646.62 and 5,788.27

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Solution

The fourth proportional to 8,432.11, 11,646.62 and 5,788.27 is: 7,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.11 : 11,646.62 = 5,788.27 : x
  2. Step 2: Convert to fraction form
    8,432.11/11,646.62 = 5,788.27/x
  3. Step 3: Cross multiply
    8,432.11x = 11,646.62 × 5,788.27
  4. Step 4: Simplify right side
    8,432.11x = 67,413,752.21
  5. Step 5: Solve for x
    x = 67,413,752.21/8,432.11
  6. Step 6: Final answer
    x = 7,994.89

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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.