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Finding the Fourth Proportional to 10,147.71, 15,227.01 and 4,228.70

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Solution

The fourth proportional to 10,147.71, 15,227.01 and 4,228.70 is: 6,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.71 : 15,227.01 = 4,228.70 : x
  2. Step 2: Convert to fraction form
    10,147.71/15,227.01 = 4,228.70/x
  3. Step 3: Cross multiply
    10,147.71x = 15,227.01 × 4,228.70
  4. Step 4: Simplify right side
    10,147.71x = 64,390,381.05
  5. Step 5: Solve for x
    x = 64,390,381.05/10,147.71
  6. Step 6: Final answer
    x = 6,345.31

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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.