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Finding the Fourth Proportional to 6,762.58, 10,143.80 and 2,082.58

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Solution

The fourth proportional to 6,762.58, 10,143.80 and 2,082.58 is: 3,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.58 : 10,143.80 = 2,082.58 : x
  2. Step 2: Convert to fraction form
    6,762.58/10,143.80 = 2,082.58/x
  3. Step 3: Cross multiply
    6,762.58x = 10,143.80 × 2,082.58
  4. Step 4: Simplify right side
    6,762.58x = 21,125,275.00
  5. Step 5: Solve for x
    x = 21,125,275.00/6,762.58
  6. Step 6: Final answer
    x = 3,123.85

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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.