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Finding the Fourth Proportional to 8,663.04, 12,990.24 and 3,464.64

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Solution

The fourth proportional to 8,663.04, 12,990.24 and 3,464.64 is: 5,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.04 : 12,990.24 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    8,663.04/12,990.24 = 3,464.64/x
  3. Step 3: Cross multiply
    8,663.04x = 12,990.24 × 3,464.64
  4. Step 4: Simplify right side
    8,663.04x = 45,006,505.11
  5. Step 5: Solve for x
    x = 45,006,505.11/8,663.04
  6. Step 6: Final answer
    x = 5,195.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.