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Finding the Fourth Proportional to 8,574.52, 12,851.50 and 4,416.49

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Solution

The fourth proportional to 8,574.52, 12,851.50 and 4,416.49 is: 6,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.52 : 12,851.50 = 4,416.49 : x
  2. Step 2: Convert to fraction form
    8,574.52/12,851.50 = 4,416.49/x
  3. Step 3: Cross multiply
    8,574.52x = 12,851.50 × 4,416.49
  4. Step 4: Simplify right side
    8,574.52x = 56,758,521.24
  5. Step 5: Solve for x
    x = 56,758,521.24/8,574.52
  6. Step 6: Final answer
    x = 6,619.44

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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.