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Finding the Fourth Proportional to 8,123.85, 11,210.94 and 4,397.85

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Solution

The fourth proportional to 8,123.85, 11,210.94 and 4,397.85 is: 6,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.85 : 11,210.94 = 4,397.85 : x
  2. Step 2: Convert to fraction form
    8,123.85/11,210.94 = 4,397.85/x
  3. Step 3: Cross multiply
    8,123.85x = 11,210.94 × 4,397.85
  4. Step 4: Simplify right side
    8,123.85x = 49,303,976.42
  5. Step 5: Solve for x
    x = 49,303,976.42/8,123.85
  6. Step 6: Final answer
    x = 6,069.04

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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.