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Finding the Fourth Proportional to 10,207.12, 15,320.96 and 6,874.96

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Solution

The fourth proportional to 10,207.12, 15,320.96 and 6,874.96 is: 10,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.12 : 15,320.96 = 6,874.96 : x
  2. Step 2: Convert to fraction form
    10,207.12/15,320.96 = 6,874.96/x
  3. Step 3: Cross multiply
    10,207.12x = 15,320.96 × 6,874.96
  4. Step 4: Simplify right side
    10,207.12x = 105,330,987.16
  5. Step 5: Solve for x
    x = 105,330,987.16/10,207.12
  6. Step 6: Final answer
    x = 10,319.36

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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.