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Finding the Fourth Proportional to 10,168.56, 14,032.65 and 5,922.15

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Solution

The fourth proportional to 10,168.56, 14,032.65 and 5,922.15 is: 8,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.56 : 14,032.65 = 5,922.15 : x
  2. Step 2: Convert to fraction form
    10,168.56/14,032.65 = 5,922.15/x
  3. Step 3: Cross multiply
    10,168.56x = 14,032.65 × 5,922.15
  4. Step 4: Simplify right side
    10,168.56x = 83,103,458.20
  5. Step 5: Solve for x
    x = 83,103,458.20/10,168.56
  6. Step 6: Final answer
    x = 8,172.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.