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Finding the Fourth Proportional to 10,508.57, 14,507.76 and 6,976.61

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Solution

The fourth proportional to 10,508.57, 14,507.76 and 6,976.61 is: 9,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.57 : 14,507.76 = 6,976.61 : x
  2. Step 2: Convert to fraction form
    10,508.57/14,507.76 = 6,976.61/x
  3. Step 3: Cross multiply
    10,508.57x = 14,507.76 × 6,976.61
  4. Step 4: Simplify right side
    10,508.57x = 101,214,910.95
  5. Step 5: Solve for x
    x = 101,214,910.95/10,508.57
  6. Step 6: Final answer
    x = 9,631.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.