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Finding the Fourth Proportional to 11,752.64, 16,219.39 and 7,766.76

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Solution

The fourth proportional to 11,752.64, 16,219.39 and 7,766.76 is: 10,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.64 : 16,219.39 = 7,766.76 : x
  2. Step 2: Convert to fraction form
    11,752.64/16,219.39 = 7,766.76/x
  3. Step 3: Cross multiply
    11,752.64x = 16,219.39 × 7,766.76
  4. Step 4: Simplify right side
    11,752.64x = 125,972,109.48
  5. Step 5: Solve for x
    x = 125,972,109.48/11,752.64
  6. Step 6: Final answer
    x = 10,718.62

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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.