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Finding the Fourth Proportional to 6,773.57, 10,151.13 and 4,142

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Solution

The fourth proportional to 6,773.57, 10,151.13 and 4,142 is: 6,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.57 : 10,151.13 = 4,142 : x
  2. Step 2: Convert to fraction form
    6,773.57/10,151.13 = 4,142/x
  3. Step 3: Cross multiply
    6,773.57x = 10,151.13 × 4,142
  4. Step 4: Simplify right side
    6,773.57x = 42,045,980.46
  5. Step 5: Solve for x
    x = 42,045,980.46/6,773.57
  6. Step 6: Final answer
    x = 6,207.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.