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Finding the Fourth Proportional to 8,577.65, 12,865.25 and 4,193.93

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Solution

The fourth proportional to 8,577.65, 12,865.25 and 4,193.93 is: 6,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.65 : 12,865.25 = 4,193.93 : x
  2. Step 2: Convert to fraction form
    8,577.65/12,865.25 = 4,193.93/x
  3. Step 3: Cross multiply
    8,577.65x = 12,865.25 × 4,193.93
  4. Step 4: Simplify right side
    8,577.65x = 53,955,872.64
  5. Step 5: Solve for x
    x = 53,955,872.64/8,577.65
  6. Step 6: Final answer
    x = 6,290.29

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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.