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Finding the Fourth Proportional to 8,042.42, 12,056.72 and 5,695.04

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Solution

The fourth proportional to 8,042.42, 12,056.72 and 5,695.04 is: 8,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.42 : 12,056.72 = 5,695.04 : x
  2. Step 2: Convert to fraction form
    8,042.42/12,056.72 = 5,695.04/x
  3. Step 3: Cross multiply
    8,042.42x = 12,056.72 × 5,695.04
  4. Step 4: Simplify right side
    8,042.42x = 68,663,413.91
  5. Step 5: Solve for x
    x = 68,663,413.91/8,042.42
  6. Step 6: Final answer
    x = 8,537.66

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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.