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Finding the Fourth Proportional to 10,542.61, 15,814.93 and 2,751.42

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Solution

The fourth proportional to 10,542.61, 15,814.93 and 2,751.42 is: 4,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.61 : 15,814.93 = 2,751.42 : x
  2. Step 2: Convert to fraction form
    10,542.61/15,814.93 = 2,751.42/x
  3. Step 3: Cross multiply
    10,542.61x = 15,814.93 × 2,751.42
  4. Step 4: Simplify right side
    10,542.61x = 43,513,514.70
  5. Step 5: Solve for x
    x = 43,513,514.70/10,542.61
  6. Step 6: Final answer
    x = 4,127.39

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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.