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Finding the Fourth Proportional to 7,870.85, 10,861.77 and 4,333.97

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Solution

The fourth proportional to 7,870.85, 10,861.77 and 4,333.97 is: 5,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.85 : 10,861.77 = 4,333.97 : x
  2. Step 2: Convert to fraction form
    7,870.85/10,861.77 = 4,333.97/x
  3. Step 3: Cross multiply
    7,870.85x = 10,861.77 × 4,333.97
  4. Step 4: Simplify right side
    7,870.85x = 47,074,585.33
  5. Step 5: Solve for x
    x = 47,074,585.33/7,870.85
  6. Step 6: Final answer
    x = 5,980.88

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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.