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Finding the Fourth Proportional to 10,722.25, 16,079.42 and 3,700.47

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Solution

The fourth proportional to 10,722.25, 16,079.42 and 3,700.47 is: 5,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.25 : 16,079.42 = 3,700.47 : x
  2. Step 2: Convert to fraction form
    10,722.25/16,079.42 = 3,700.47/x
  3. Step 3: Cross multiply
    10,722.25x = 16,079.42 × 3,700.47
  4. Step 4: Simplify right side
    10,722.25x = 59,501,411.33
  5. Step 5: Solve for x
    x = 59,501,411.33/10,722.25
  6. Step 6: Final answer
    x = 5,549.34

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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.