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Finding the Fourth Proportional to 8,095.76, 11,170.46 and 4,737.93

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Solution

The fourth proportional to 8,095.76, 11,170.46 and 4,737.93 is: 6,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.76 : 11,170.46 = 4,737.93 : x
  2. Step 2: Convert to fraction form
    8,095.76/11,170.46 = 4,737.93/x
  3. Step 3: Cross multiply
    8,095.76x = 11,170.46 × 4,737.93
  4. Step 4: Simplify right side
    8,095.76x = 52,924,833.86
  5. Step 5: Solve for x
    x = 52,924,833.86/8,095.76
  6. Step 6: Final answer
    x = 6,537.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.