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Finding the Fourth Proportional to 10,207.20, 15,320.40 and 6,319.20

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Solution

The fourth proportional to 10,207.20, 15,320.40 and 6,319.20 is: 9,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.20 : 15,320.40 = 6,319.20 : x
  2. Step 2: Convert to fraction form
    10,207.20/15,320.40 = 6,319.20/x
  3. Step 3: Cross multiply
    10,207.20x = 15,320.40 × 6,319.20
  4. Step 4: Simplify right side
    10,207.20x = 96,812,671.68
  5. Step 5: Solve for x
    x = 96,812,671.68/10,207.20
  6. Step 6: Final answer
    x = 9,484.74

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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.