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Finding the Fourth Proportional to 10,605.28, 15,904 and 4,028.16

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Solution

The fourth proportional to 10,605.28, 15,904 and 4,028.16 is: 6,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.28 : 15,904 = 4,028.16 : x
  2. Step 2: Convert to fraction form
    10,605.28/15,904 = 4,028.16/x
  3. Step 3: Cross multiply
    10,605.28x = 15,904 × 4,028.16
  4. Step 4: Simplify right side
    10,605.28x = 64,063,856.64
  5. Step 5: Solve for x
    x = 64,063,856.64/10,605.28
  6. Step 6: Final answer
    x = 6,040.75

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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.