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Finding the Fourth Proportional to 8,411.61, 11,612.69 and 5,055.24

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Solution

The fourth proportional to 8,411.61, 11,612.69 and 5,055.24 is: 6,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.61 : 11,612.69 = 5,055.24 : x
  2. Step 2: Convert to fraction form
    8,411.61/11,612.69 = 5,055.24/x
  3. Step 3: Cross multiply
    8,411.61x = 11,612.69 × 5,055.24
  4. Step 4: Simplify right side
    8,411.61x = 58,704,909.72
  5. Step 5: Solve for x
    x = 58,704,909.72/8,411.61
  6. Step 6: Final answer
    x = 6,979.03

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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.