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Finding the Fourth Proportional to 10,135.96, 13,990.12 and 6,159.71

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Solution

The fourth proportional to 10,135.96, 13,990.12 and 6,159.71 is: 8,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.96 : 13,990.12 = 6,159.71 : x
  2. Step 2: Convert to fraction form
    10,135.96/13,990.12 = 6,159.71/x
  3. Step 3: Cross multiply
    10,135.96x = 13,990.12 × 6,159.71
  4. Step 4: Simplify right side
    10,135.96x = 86,175,101.64
  5. Step 5: Solve for x
    x = 86,175,101.64/10,135.96
  6. Step 6: Final answer
    x = 8,501.92

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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.