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Finding the Fourth Proportional to 10,167.77, 14,032.08 and 5,691.51

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Solution

The fourth proportional to 10,167.77, 14,032.08 and 5,691.51 is: 7,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.77 : 14,032.08 = 5,691.51 : x
  2. Step 2: Convert to fraction form
    10,167.77/14,032.08 = 5,691.51/x
  3. Step 3: Cross multiply
    10,167.77x = 14,032.08 × 5,691.51
  4. Step 4: Simplify right side
    10,167.77x = 79,863,723.64
  5. Step 5: Solve for x
    x = 79,863,723.64/10,167.77
  6. Step 6: Final answer
    x = 7,854.59

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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.