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Finding the Fourth Proportional to 10,575.72, 15,865.98 and 7,290.12

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Solution

The fourth proportional to 10,575.72, 15,865.98 and 7,290.12 is: 10,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.72 : 15,865.98 = 7,290.12 : x
  2. Step 2: Convert to fraction form
    10,575.72/15,865.98 = 7,290.12/x
  3. Step 3: Cross multiply
    10,575.72x = 15,865.98 × 7,290.12
  4. Step 4: Simplify right side
    10,575.72x = 115,664,898.12
  5. Step 5: Solve for x
    x = 115,664,898.12/10,575.72
  6. Step 6: Final answer
    x = 10,936.83

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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.