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Finding the Fourth Proportional to 10,514, 15,770.96 and 7,217.08

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Solution

The fourth proportional to 10,514, 15,770.96 and 7,217.08 is: 10,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 15,770.96 = 7,217.08 : x
  2. Step 2: Convert to fraction form
    10,514/15,770.96 = 7,217.08/x
  3. Step 3: Cross multiply
    10,514x = 15,770.96 × 7,217.08
  4. Step 4: Simplify right side
    10,514x = 113,820,280.00
  5. Step 5: Solve for x
    x = 113,820,280.00/10,514
  6. Step 6: Final answer
    x = 10,825.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.