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Finding the Fourth Proportional to 10,382.16, 15,575.22 and 5,699.64

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Solution

The fourth proportional to 10,382.16, 15,575.22 and 5,699.64 is: 8,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.16 : 15,575.22 = 5,699.64 : x
  2. Step 2: Convert to fraction form
    10,382.16/15,575.22 = 5,699.64/x
  3. Step 3: Cross multiply
    10,382.16x = 15,575.22 × 5,699.64
  4. Step 4: Simplify right side
    10,382.16x = 88,773,146.92
  5. Step 5: Solve for x
    x = 88,773,146.92/10,382.16
  6. Step 6: Final answer
    x = 8,550.55

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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.