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Finding the Fourth Proportional to 8,610.80, 12,917.01 and 3,416

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Solution

The fourth proportional to 8,610.80, 12,917.01 and 3,416 is: 5,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.80 : 12,917.01 = 3,416 : x
  2. Step 2: Convert to fraction form
    8,610.80/12,917.01 = 3,416/x
  3. Step 3: Cross multiply
    8,610.80x = 12,917.01 × 3,416
  4. Step 4: Simplify right side
    8,610.80x = 44,124,506.16
  5. Step 5: Solve for x
    x = 44,124,506.16/8,610.80
  6. Step 6: Final answer
    x = 5,124.32

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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.