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Finding the Fourth Proportional to 8,566.97, 12,851.47 and 3,019.16

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Solution

The fourth proportional to 8,566.97, 12,851.47 and 3,019.16 is: 4,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.97 : 12,851.47 = 3,019.16 : x
  2. Step 2: Convert to fraction form
    8,566.97/12,851.47 = 3,019.16/x
  3. Step 3: Cross multiply
    8,566.97x = 12,851.47 × 3,019.16
  4. Step 4: Simplify right side
    8,566.97x = 38,800,666.24
  5. Step 5: Solve for x
    x = 38,800,666.24/8,566.97
  6. Step 6: Final answer
    x = 4,529.10

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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.