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Finding the Fourth Proportional to 11,426.16, 17,140.80 and 5,578.72

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Solution

The fourth proportional to 11,426.16, 17,140.80 and 5,578.72 is: 8,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.16 : 17,140.80 = 5,578.72 : x
  2. Step 2: Convert to fraction form
    11,426.16/17,140.80 = 5,578.72/x
  3. Step 3: Cross multiply
    11,426.16x = 17,140.80 × 5,578.72
  4. Step 4: Simplify right side
    11,426.16x = 95,623,723.78
  5. Step 5: Solve for x
    x = 95,623,723.78/11,426.16
  6. Step 6: Final answer
    x = 8,368.84

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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.