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Finding the Fourth Proportional to 8,482.16, 12,718.92 and 5,713.04

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Solution

The fourth proportional to 8,482.16, 12,718.92 and 5,713.04 is: 8,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.16 : 12,718.92 = 5,713.04 : x
  2. Step 2: Convert to fraction form
    8,482.16/12,718.92 = 5,713.04/x
  3. Step 3: Cross multiply
    8,482.16x = 12,718.92 × 5,713.04
  4. Step 4: Simplify right side
    8,482.16x = 72,663,698.72
  5. Step 5: Solve for x
    x = 72,663,698.72/8,482.16
  6. Step 6: Final answer
    x = 8,566.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.