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Finding the Fourth Proportional to 8,566.32, 12,851.13 and 3,019.84

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Solution

The fourth proportional to 8,566.32, 12,851.13 and 3,019.84 is: 4,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.32 : 12,851.13 = 3,019.84 : x
  2. Step 2: Convert to fraction form
    8,566.32/12,851.13 = 3,019.84/x
  3. Step 3: Cross multiply
    8,566.32x = 12,851.13 × 3,019.84
  4. Step 4: Simplify right side
    8,566.32x = 38,808,356.42
  5. Step 5: Solve for x
    x = 38,808,356.42/8,566.32
  6. Step 6: Final answer
    x = 4,530.34

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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.