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Finding the Fourth Proportional to 10,542.64, 14,542.20 and 6,290.72

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Solution

The fourth proportional to 10,542.64, 14,542.20 and 6,290.72 is: 8,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.64 : 14,542.20 = 6,290.72 : x
  2. Step 2: Convert to fraction form
    10,542.64/14,542.20 = 6,290.72/x
  3. Step 3: Cross multiply
    10,542.64x = 14,542.20 × 6,290.72
  4. Step 4: Simplify right side
    10,542.64x = 91,480,908.38
  5. Step 5: Solve for x
    x = 91,480,908.38/10,542.64
  6. Step 6: Final answer
    x = 8,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.