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Finding the Fourth Proportional to 10,145.78, 14,001.92 and 5,840.18

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Solution

The fourth proportional to 10,145.78, 14,001.92 and 5,840.18 is: 8,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.78 : 14,001.92 = 5,840.18 : x
  2. Step 2: Convert to fraction form
    10,145.78/14,001.92 = 5,840.18/x
  3. Step 3: Cross multiply
    10,145.78x = 14,001.92 × 5,840.18
  4. Step 4: Simplify right side
    10,145.78x = 81,773,733.15
  5. Step 5: Solve for x
    x = 81,773,733.15/10,145.78
  6. Step 6: Final answer
    x = 8,059.88

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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.