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Finding the Fourth Proportional to 6,775.74, 10,114.56 and 5,857.20

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Solution

The fourth proportional to 6,775.74, 10,114.56 and 5,857.20 is: 8,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.74 : 10,114.56 = 5,857.20 : x
  2. Step 2: Convert to fraction form
    6,775.74/10,114.56 = 5,857.20/x
  3. Step 3: Cross multiply
    6,775.74x = 10,114.56 × 5,857.20
  4. Step 4: Simplify right side
    6,775.74x = 59,243,000.83
  5. Step 5: Solve for x
    x = 59,243,000.83/6,775.74
  6. Step 6: Final answer
    x = 8,743.40

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