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Finding the Fourth Proportional to 8,482.83, 12,711.25 and 3,549.77

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Solution

The fourth proportional to 8,482.83, 12,711.25 and 3,549.77 is: 5,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.83 : 12,711.25 = 3,549.77 : x
  2. Step 2: Convert to fraction form
    8,482.83/12,711.25 = 3,549.77/x
  3. Step 3: Cross multiply
    8,482.83x = 12,711.25 × 3,549.77
  4. Step 4: Simplify right side
    8,482.83x = 45,122,083.95
  5. Step 5: Solve for x
    x = 45,122,083.95/8,482.83
  6. Step 6: Final answer
    x = 5,319.23

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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.