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Finding the Fourth Proportional to 10,490.90, 15,731.37 and 3,822.71

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Solution

The fourth proportional to 10,490.90, 15,731.37 and 3,822.71 is: 5,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.90 : 15,731.37 = 3,822.71 : x
  2. Step 2: Convert to fraction form
    10,490.90/15,731.37 = 3,822.71/x
  3. Step 3: Cross multiply
    10,490.90x = 15,731.37 × 3,822.71
  4. Step 4: Simplify right side
    10,490.90x = 60,136,386.76
  5. Step 5: Solve for x
    x = 60,136,386.76/10,490.90
  6. Step 6: Final answer
    x = 5,732.25

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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.