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Finding the Fourth Proportional to 8,278.50, 11,424.33 and 5,484

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Solution

The fourth proportional to 8,278.50, 11,424.33 and 5,484 is: 7,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.50 : 11,424.33 = 5,484 : x
  2. Step 2: Convert to fraction form
    8,278.50/11,424.33 = 5,484/x
  3. Step 3: Cross multiply
    8,278.50x = 11,424.33 × 5,484
  4. Step 4: Simplify right side
    8,278.50x = 62,651,025.72
  5. Step 5: Solve for x
    x = 62,651,025.72/8,278.50
  6. Step 6: Final answer
    x = 7,567.92

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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.