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Finding the Fourth Proportional to 8,575.04, 11,835.24 and 5,429

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Solution

The fourth proportional to 8,575.04, 11,835.24 and 5,429 is: 7,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.04 : 11,835.24 = 5,429 : x
  2. Step 2: Convert to fraction form
    8,575.04/11,835.24 = 5,429/x
  3. Step 3: Cross multiply
    8,575.04x = 11,835.24 × 5,429
  4. Step 4: Simplify right side
    8,575.04x = 64,253,517.96
  5. Step 5: Solve for x
    x = 64,253,517.96/8,575.04
  6. Step 6: Final answer
    x = 7,493.09

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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.