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Finding the Fourth Proportional to 8,432.16, 11,633.79 and 4,894.66

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Solution

The fourth proportional to 8,432.16, 11,633.79 and 4,894.66 is: 6,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.16 : 11,633.79 = 4,894.66 : x
  2. Step 2: Convert to fraction form
    8,432.16/11,633.79 = 4,894.66/x
  3. Step 3: Cross multiply
    8,432.16x = 11,633.79 × 4,894.66
  4. Step 4: Simplify right side
    8,432.16x = 56,943,446.56
  5. Step 5: Solve for x
    x = 56,943,446.56/8,432.16
  6. Step 6: Final answer
    x = 6,753.13

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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.