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Finding the Fourth Proportional to 7,853.11, 10,834.58 and 4,867.85

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Solution

The fourth proportional to 7,853.11, 10,834.58 and 4,867.85 is: 6,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.11 : 10,834.58 = 4,867.85 : x
  2. Step 2: Convert to fraction form
    7,853.11/10,834.58 = 4,867.85/x
  3. Step 3: Cross multiply
    7,853.11x = 10,834.58 × 4,867.85
  4. Step 4: Simplify right side
    7,853.11x = 52,741,149.51
  5. Step 5: Solve for x
    x = 52,741,149.51/7,853.11
  6. Step 6: Final answer
    x = 6,715.96

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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.