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Finding the Fourth Proportional to 8,807.68, 13,211.36 and 2,964.24

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Solution

The fourth proportional to 8,807.68, 13,211.36 and 2,964.24 is: 4,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.68 : 13,211.36 = 2,964.24 : x
  2. Step 2: Convert to fraction form
    8,807.68/13,211.36 = 2,964.24/x
  3. Step 3: Cross multiply
    8,807.68x = 13,211.36 × 2,964.24
  4. Step 4: Simplify right side
    8,807.68x = 39,161,641.77
  5. Step 5: Solve for x
    x = 39,161,641.77/8,807.68
  6. Step 6: Final answer
    x = 4,446.31

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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.