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Finding the Fourth Proportional to 11,705.13, 16,149.82 and 6,987.69

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Solution

The fourth proportional to 11,705.13, 16,149.82 and 6,987.69 is: 9,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.13 : 16,149.82 = 6,987.69 : x
  2. Step 2: Convert to fraction form
    11,705.13/16,149.82 = 6,987.69/x
  3. Step 3: Cross multiply
    11,705.13x = 16,149.82 × 6,987.69
  4. Step 4: Simplify right side
    11,705.13x = 112,849,935.72
  5. Step 5: Solve for x
    x = 112,849,935.72/11,705.13
  6. Step 6: Final answer
    x = 9,641.07

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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.