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Finding the Fourth Proportional to 11,420.13, 15,760.08 and 6,384.90

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Solution

The fourth proportional to 11,420.13, 15,760.08 and 6,384.90 is: 8,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.13 : 15,760.08 = 6,384.90 : x
  2. Step 2: Convert to fraction form
    11,420.13/15,760.08 = 6,384.90/x
  3. Step 3: Cross multiply
    11,420.13x = 15,760.08 × 6,384.90
  4. Step 4: Simplify right side
    11,420.13x = 100,626,534.79
  5. Step 5: Solve for x
    x = 100,626,534.79/11,420.13
  6. Step 6: Final answer
    x = 8,811.33

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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.