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Finding the Fourth Proportional to 10,382.90, 15,577.07 and 3,809.13

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Solution

The fourth proportional to 10,382.90, 15,577.07 and 3,809.13 is: 5,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.90 : 15,577.07 = 3,809.13 : x
  2. Step 2: Convert to fraction form
    10,382.90/15,577.07 = 3,809.13/x
  3. Step 3: Cross multiply
    10,382.90x = 15,577.07 × 3,809.13
  4. Step 4: Simplify right side
    10,382.90x = 59,335,065.60
  5. Step 5: Solve for x
    x = 59,335,065.60/10,382.90
  6. Step 6: Final answer
    x = 5,714.69

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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.