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Finding the Fourth Proportional to 7,500.02, 11,250.03 and 5,854.10

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Solution

The fourth proportional to 7,500.02, 11,250.03 and 5,854.10 is: 8,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.02 : 11,250.03 = 5,854.10 : x
  2. Step 2: Convert to fraction form
    7,500.02/11,250.03 = 5,854.10/x
  3. Step 3: Cross multiply
    7,500.02x = 11,250.03 × 5,854.10
  4. Step 4: Simplify right side
    7,500.02x = 65,858,800.62
  5. Step 5: Solve for x
    x = 65,858,800.62/7,500.02
  6. Step 6: Final answer
    x = 8,781.15

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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.