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Finding the Fourth Proportional to 8,660.65, 12,970.35 and 5,530.96

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Solution

The fourth proportional to 8,660.65, 12,970.35 and 5,530.96 is: 8,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.65 : 12,970.35 = 5,530.96 : x
  2. Step 2: Convert to fraction form
    8,660.65/12,970.35 = 5,530.96/x
  3. Step 3: Cross multiply
    8,660.65x = 12,970.35 × 5,530.96
  4. Step 4: Simplify right side
    8,660.65x = 71,738,487.04
  5. Step 5: Solve for x
    x = 71,738,487.04/8,660.65
  6. Step 6: Final answer
    x = 8,283.27

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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.