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Finding the Fourth Proportional to 10,141.12, 13,987.92 and 6,159.52

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Solution

The fourth proportional to 10,141.12, 13,987.92 and 6,159.52 is: 8,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.12 : 13,987.92 = 6,159.52 : x
  2. Step 2: Convert to fraction form
    10,141.12/13,987.92 = 6,159.52/x
  3. Step 3: Cross multiply
    10,141.12x = 13,987.92 × 6,159.52
  4. Step 4: Simplify right side
    10,141.12x = 86,158,873.00
  5. Step 5: Solve for x
    x = 86,158,873.00/10,141.12
  6. Step 6: Final answer
    x = 8,495.99

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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.