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Finding the Fourth Proportional to 6,779.74, 10,120.51 and 5,861.20

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Solution

The fourth proportional to 6,779.74, 10,120.51 and 5,861.20 is: 8,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.74 : 10,120.51 = 5,861.20 : x
  2. Step 2: Convert to fraction form
    6,779.74/10,120.51 = 5,861.20/x
  3. Step 3: Cross multiply
    6,779.74x = 10,120.51 × 5,861.20
  4. Step 4: Simplify right side
    6,779.74x = 59,318,333.21
  5. Step 5: Solve for x
    x = 59,318,333.21/6,779.74
  6. Step 6: Final answer
    x = 8,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.