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Finding the Fourth Proportional to 8,292.40, 11,443.71 and 4,515.77

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Solution

The fourth proportional to 8,292.40, 11,443.71 and 4,515.77 is: 6,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.40 : 11,443.71 = 4,515.77 : x
  2. Step 2: Convert to fraction form
    8,292.40/11,443.71 = 4,515.77/x
  3. Step 3: Cross multiply
    8,292.40x = 11,443.71 × 4,515.77
  4. Step 4: Simplify right side
    8,292.40x = 51,677,105.09
  5. Step 5: Solve for x
    x = 51,677,105.09/8,292.40
  6. Step 6: Final answer
    x = 6,231.87

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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.