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Finding the Fourth Proportional to 10,665.18, 14,718 and 5,949.66

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Solution

The fourth proportional to 10,665.18, 14,718 and 5,949.66 is: 8,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.18 : 14,718 = 5,949.66 : x
  2. Step 2: Convert to fraction form
    10,665.18/14,718 = 5,949.66/x
  3. Step 3: Cross multiply
    10,665.18x = 14,718 × 5,949.66
  4. Step 4: Simplify right side
    10,665.18x = 87,567,095.88
  5. Step 5: Solve for x
    x = 87,567,095.88/10,665.18
  6. Step 6: Final answer
    x = 8,210.56

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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.