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Finding the Fourth Proportional to 11,244.47, 16,862.74 and 3,746

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Solution

The fourth proportional to 11,244.47, 16,862.74 and 3,746 is: 5,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.47 : 16,862.74 = 3,746 : x
  2. Step 2: Convert to fraction form
    11,244.47/16,862.74 = 3,746/x
  3. Step 3: Cross multiply
    11,244.47x = 16,862.74 × 3,746
  4. Step 4: Simplify right side
    11,244.47x = 63,167,824.04
  5. Step 5: Solve for x
    x = 63,167,824.04/11,244.47
  6. Step 6: Final answer
    x = 5,617.68

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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.