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Finding the Fourth Proportional to 11,707.52, 16,160.82 and 7,950.14

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Solution

The fourth proportional to 11,707.52, 16,160.82 and 7,950.14 is: 10,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.52 : 16,160.82 = 7,950.14 : x
  2. Step 2: Convert to fraction form
    11,707.52/16,160.82 = 7,950.14/x
  3. Step 3: Cross multiply
    11,707.52x = 16,160.82 × 7,950.14
  4. Step 4: Simplify right side
    11,707.52x = 128,480,781.51
  5. Step 5: Solve for x
    x = 128,480,781.51/11,707.52
  6. Step 6: Final answer
    x = 10,974.21

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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.