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Finding the Fourth Proportional to 10,292.92, 15,443.10 and 4,049.49

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Solution

The fourth proportional to 10,292.92, 15,443.10 and 4,049.49 is: 6,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.92 : 15,443.10 = 4,049.49 : x
  2. Step 2: Convert to fraction form
    10,292.92/15,443.10 = 4,049.49/x
  3. Step 3: Cross multiply
    10,292.92x = 15,443.10 × 4,049.49
  4. Step 4: Simplify right side
    10,292.92x = 62,536,679.02
  5. Step 5: Solve for x
    x = 62,536,679.02/10,292.92
  6. Step 6: Final answer
    x = 6,075.70

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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.