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Finding the Fourth Proportional to 10,148.16, 15,222.32 and 3,572.84

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Solution

The fourth proportional to 10,148.16, 15,222.32 and 3,572.84 is: 5,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.16 : 15,222.32 = 3,572.84 : x
  2. Step 2: Convert to fraction form
    10,148.16/15,222.32 = 3,572.84/x
  3. Step 3: Cross multiply
    10,148.16x = 15,222.32 × 3,572.84
  4. Step 4: Simplify right side
    10,148.16x = 54,386,913.79
  5. Step 5: Solve for x
    x = 54,386,913.79/10,148.16
  6. Step 6: Final answer
    x = 5,359.29

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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.