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Finding the Fourth Proportional to 6,864.66, 10,277.54 and 4,517.61

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Solution

The fourth proportional to 6,864.66, 10,277.54 and 4,517.61 is: 6,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.66 : 10,277.54 = 4,517.61 : x
  2. Step 2: Convert to fraction form
    6,864.66/10,277.54 = 4,517.61/x
  3. Step 3: Cross multiply
    6,864.66x = 10,277.54 × 4,517.61
  4. Step 4: Simplify right side
    6,864.66x = 46,429,894.89
  5. Step 5: Solve for x
    x = 46,429,894.89/6,864.66
  6. Step 6: Final answer
    x = 6,763.61

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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.