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Finding the Fourth Proportional to 10,382.80, 15,570.48 and 5,185.12

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Solution

The fourth proportional to 10,382.80, 15,570.48 and 5,185.12 is: 7,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.80 : 15,570.48 = 5,185.12 : x
  2. Step 2: Convert to fraction form
    10,382.80/15,570.48 = 5,185.12/x
  3. Step 3: Cross multiply
    10,382.80x = 15,570.48 × 5,185.12
  4. Step 4: Simplify right side
    10,382.80x = 80,734,807.26
  5. Step 5: Solve for x
    x = 80,734,807.26/10,382.80
  6. Step 6: Final answer
    x = 7,775.82

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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.