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Finding the Fourth Proportional to 11,580.50, 15,981 and 6,275.18

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Solution

The fourth proportional to 11,580.50, 15,981 and 6,275.18 is: 8,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.50 : 15,981 = 6,275.18 : x
  2. Step 2: Convert to fraction form
    11,580.50/15,981 = 6,275.18/x
  3. Step 3: Cross multiply
    11,580.50x = 15,981 × 6,275.18
  4. Step 4: Simplify right side
    11,580.50x = 100,283,651.58
  5. Step 5: Solve for x
    x = 100,283,651.58/11,580.50
  6. Step 6: Final answer
    x = 8,659.70

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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.