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Finding the Fourth Proportional to 9,780.71, 13,500.15 and 8,016.53

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Solution

The fourth proportional to 9,780.71, 13,500.15 and 8,016.53 is: 11,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.71 : 13,500.15 = 8,016.53 : x
  2. Step 2: Convert to fraction form
    9,780.71/13,500.15 = 8,016.53/x
  3. Step 3: Cross multiply
    9,780.71x = 13,500.15 × 8,016.53
  4. Step 4: Simplify right side
    9,780.71x = 108,224,357.48
  5. Step 5: Solve for x
    x = 108,224,357.48/9,780.71
  6. Step 6: Final answer
    x = 11,065.08

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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.