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Finding the Fourth Proportional to 10,138.40, 13,982.96 and 6,159.40

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Solution

The fourth proportional to 10,138.40, 13,982.96 and 6,159.40 is: 8,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.40 : 13,982.96 = 6,159.40 : x
  2. Step 2: Convert to fraction form
    10,138.40/13,982.96 = 6,159.40/x
  3. Step 3: Cross multiply
    10,138.40x = 13,982.96 × 6,159.40
  4. Step 4: Simplify right side
    10,138.40x = 86,126,643.82
  5. Step 5: Solve for x
    x = 86,126,643.82/10,138.40
  6. Step 6: Final answer
    x = 8,495.09

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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.