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Finding the Fourth Proportional to 10,142.79, 15,207.67 and 4,223.78

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Solution

The fourth proportional to 10,142.79, 15,207.67 and 4,223.78 is: 6,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.79 : 15,207.67 = 4,223.78 : x
  2. Step 2: Convert to fraction form
    10,142.79/15,207.67 = 4,223.78/x
  3. Step 3: Cross multiply
    10,142.79x = 15,207.67 × 4,223.78
  4. Step 4: Simplify right side
    10,142.79x = 64,233,852.39
  5. Step 5: Solve for x
    x = 64,233,852.39/10,142.79
  6. Step 6: Final answer
    x = 6,332.96

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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.