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Finding the Fourth Proportional to 10,262.64, 15,382.44 and 5,072.16

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Solution

The fourth proportional to 10,262.64, 15,382.44 and 5,072.16 is: 7,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.64 : 15,382.44 = 5,072.16 : x
  2. Step 2: Convert to fraction form
    10,262.64/15,382.44 = 5,072.16/x
  3. Step 3: Cross multiply
    10,262.64x = 15,382.44 × 5,072.16
  4. Step 4: Simplify right side
    10,262.64x = 78,022,196.87
  5. Step 5: Solve for x
    x = 78,022,196.87/10,262.64
  6. Step 6: Final answer
    x = 7,602.55

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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.