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Finding the Fourth Proportional to 10,292.44, 15,426.82 and 4,049.01

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Solution

The fourth proportional to 10,292.44, 15,426.82 and 4,049.01 is: 6,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.44 : 15,426.82 = 4,049.01 : x
  2. Step 2: Convert to fraction form
    10,292.44/15,426.82 = 4,049.01/x
  3. Step 3: Cross multiply
    10,292.44x = 15,426.82 × 4,049.01
  4. Step 4: Simplify right side
    10,292.44x = 62,463,348.45
  5. Step 5: Solve for x
    x = 62,463,348.45/10,292.44
  6. Step 6: Final answer
    x = 6,068.86

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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.