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Finding the Fourth Proportional to 6,754.65, 10,123.76 and 4,780.85

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Solution

The fourth proportional to 6,754.65, 10,123.76 and 4,780.85 is: 7,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.65 : 10,123.76 = 4,780.85 : x
  2. Step 2: Convert to fraction form
    6,754.65/10,123.76 = 4,780.85/x
  3. Step 3: Cross multiply
    6,754.65x = 10,123.76 × 4,780.85
  4. Step 4: Simplify right side
    6,754.65x = 48,400,215.26
  5. Step 5: Solve for x
    x = 48,400,215.26/6,754.65
  6. Step 6: Final answer
    x = 7,165.47

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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.