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Finding the Fourth Proportional to 11,617.86, 17,424.65 and 5,291.24

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Solution

The fourth proportional to 11,617.86, 17,424.65 and 5,291.24 is: 7,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.86 : 17,424.65 = 5,291.24 : x
  2. Step 2: Convert to fraction form
    11,617.86/17,424.65 = 5,291.24/x
  3. Step 3: Cross multiply
    11,617.86x = 17,424.65 × 5,291.24
  4. Step 4: Simplify right side
    11,617.86x = 92,197,931.17
  5. Step 5: Solve for x
    x = 92,197,931.17/11,617.86
  6. Step 6: Final answer
    x = 7,935.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.