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Finding the Fourth Proportional to 10,549.74, 15,824.04 and 3,154.26

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Solution

The fourth proportional to 10,549.74, 15,824.04 and 3,154.26 is: 4,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.74 : 15,824.04 = 3,154.26 : x
  2. Step 2: Convert to fraction form
    10,549.74/15,824.04 = 3,154.26/x
  3. Step 3: Cross multiply
    10,549.74x = 15,824.04 × 3,154.26
  4. Step 4: Simplify right side
    10,549.74x = 49,913,136.41
  5. Step 5: Solve for x
    x = 49,913,136.41/10,549.74
  6. Step 6: Final answer
    x = 4,731.22

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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.