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Finding the Fourth Proportional to 11,421.36, 15,757.92 and 6,384.87

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Solution

The fourth proportional to 11,421.36, 15,757.92 and 6,384.87 is: 8,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.36 : 15,757.92 = 6,384.87 : x
  2. Step 2: Convert to fraction form
    11,421.36/15,757.92 = 6,384.87/x
  3. Step 3: Cross multiply
    11,421.36x = 15,757.92 × 6,384.87
  4. Step 4: Simplify right side
    11,421.36x = 100,612,270.67
  5. Step 5: Solve for x
    x = 100,612,270.67/11,421.36
  6. Step 6: Final answer
    x = 8,809.13

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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.