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Finding the Fourth Proportional to 11,575.14, 17,363.07 and 5,000.10

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Solution

The fourth proportional to 11,575.14, 17,363.07 and 5,000.10 is: 7,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.14 : 17,363.07 = 5,000.10 : x
  2. Step 2: Convert to fraction form
    11,575.14/17,363.07 = 5,000.10/x
  3. Step 3: Cross multiply
    11,575.14x = 17,363.07 × 5,000.10
  4. Step 4: Simplify right side
    11,575.14x = 86,817,086.31
  5. Step 5: Solve for x
    x = 86,817,086.31/11,575.14
  6. Step 6: Final answer
    x = 7,500.31

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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.