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Finding the Fourth Proportional to 11,424.92, 15,766.65 and 6,389.01

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Solution

The fourth proportional to 11,424.92, 15,766.65 and 6,389.01 is: 8,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.92 : 15,766.65 = 6,389.01 : x
  2. Step 2: Convert to fraction form
    11,424.92/15,766.65 = 6,389.01/x
  3. Step 3: Cross multiply
    11,424.92x = 15,766.65 × 6,389.01
  4. Step 4: Simplify right side
    11,424.92x = 100,733,284.52
  5. Step 5: Solve for x
    x = 100,733,284.52/11,424.92
  6. Step 6: Final answer
    x = 8,816.98

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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.