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Finding the Fourth Proportional to 10,227.87, 15,345.05 and 5,030.10

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Solution

The fourth proportional to 10,227.87, 15,345.05 and 5,030.10 is: 7,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.87 : 15,345.05 = 5,030.10 : x
  2. Step 2: Convert to fraction form
    10,227.87/15,345.05 = 5,030.10/x
  3. Step 3: Cross multiply
    10,227.87x = 15,345.05 × 5,030.10
  4. Step 4: Simplify right side
    10,227.87x = 77,187,110.85
  5. Step 5: Solve for x
    x = 77,187,110.85/10,227.87
  6. Step 6: Final answer
    x = 7,546.74

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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.