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Finding the Fourth Proportional to 10,841.24, 16,264.20 and 3,444.80

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Solution

The fourth proportional to 10,841.24, 16,264.20 and 3,444.80 is: 5,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.24 : 16,264.20 = 3,444.80 : x
  2. Step 2: Convert to fraction form
    10,841.24/16,264.20 = 3,444.80/x
  3. Step 3: Cross multiply
    10,841.24x = 16,264.20 × 3,444.80
  4. Step 4: Simplify right side
    10,841.24x = 56,026,916.16
  5. Step 5: Solve for x
    x = 56,026,916.16/10,841.24
  6. Step 6: Final answer
    x = 5,167.94

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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.