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Finding the Fourth Proportional to 10,263.20, 15,394.79 and 2,472

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Solution

The fourth proportional to 10,263.20, 15,394.79 and 2,472 is: 3,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.20 : 15,394.79 = 2,472 : x
  2. Step 2: Convert to fraction form
    10,263.20/15,394.79 = 2,472/x
  3. Step 3: Cross multiply
    10,263.20x = 15,394.79 × 2,472
  4. Step 4: Simplify right side
    10,263.20x = 38,055,908.52
  5. Step 5: Solve for x
    x = 38,055,908.52/10,263.20
  6. Step 6: Final answer
    x = 3,708.00

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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.