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Finding the Fourth Proportional to 10,366.76, 15,538.84 and 5,091.30

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Solution

The fourth proportional to 10,366.76, 15,538.84 and 5,091.30 is: 7,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.76 : 15,538.84 = 5,091.30 : x
  2. Step 2: Convert to fraction form
    10,366.76/15,538.84 = 5,091.30/x
  3. Step 3: Cross multiply
    10,366.76x = 15,538.84 × 5,091.30
  4. Step 4: Simplify right side
    10,366.76x = 79,112,896.09
  5. Step 5: Solve for x
    x = 79,112,896.09/10,366.76
  6. Step 6: Final answer
    x = 7,631.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.