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Finding the Fourth Proportional to 8,563.90, 12,849.45 and 4,671.10

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Solution

The fourth proportional to 8,563.90, 12,849.45 and 4,671.10 is: 7,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.90 : 12,849.45 = 4,671.10 : x
  2. Step 2: Convert to fraction form
    8,563.90/12,849.45 = 4,671.10/x
  3. Step 3: Cross multiply
    8,563.90x = 12,849.45 × 4,671.10
  4. Step 4: Simplify right side
    8,563.90x = 60,021,065.90
  5. Step 5: Solve for x
    x = 60,021,065.90/8,563.90
  6. Step 6: Final answer
    x = 7,008.61

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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.