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Finding the Fourth Proportional to 10,275.20, 15,412.68 and 4,119.20

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Solution

The fourth proportional to 10,275.20, 15,412.68 and 4,119.20 is: 6,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.20 : 15,412.68 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    10,275.20/15,412.68 = 4,119.20/x
  3. Step 3: Cross multiply
    10,275.20x = 15,412.68 × 4,119.20
  4. Step 4: Simplify right side
    10,275.20x = 63,487,911.46
  5. Step 5: Solve for x
    x = 63,487,911.46/10,275.20
  6. Step 6: Final answer
    x = 6,178.75

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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.