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Finding the Fourth Proportional to 6,708.66, 10,045.77 and 6,511.65

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Solution

The fourth proportional to 6,708.66, 10,045.77 and 6,511.65 is: 9,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.66 : 10,045.77 = 6,511.65 : x
  2. Step 2: Convert to fraction form
    6,708.66/10,045.77 = 6,511.65/x
  3. Step 3: Cross multiply
    6,708.66x = 10,045.77 × 6,511.65
  4. Step 4: Simplify right side
    6,708.66x = 65,414,538.22
  5. Step 5: Solve for x
    x = 65,414,538.22/6,708.66
  6. Step 6: Final answer
    x = 9,750.76

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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.