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Finding the Fourth Proportional to 10,382.67, 15,577.65 and 6,482.52

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Solution

The fourth proportional to 10,382.67, 15,577.65 and 6,482.52 is: 9,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.67 : 15,577.65 = 6,482.52 : x
  2. Step 2: Convert to fraction form
    10,382.67/15,577.65 = 6,482.52/x
  3. Step 3: Cross multiply
    10,382.67x = 15,577.65 × 6,482.52
  4. Step 4: Simplify right side
    10,382.67x = 100,982,427.68
  5. Step 5: Solve for x
    x = 100,982,427.68/10,382.67
  6. Step 6: Final answer
    x = 9,726.06

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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.