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Finding the Fourth Proportional to 10,107.96, 15,164.16 and 3,088.56

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Solution

The fourth proportional to 10,107.96, 15,164.16 and 3,088.56 is: 4,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.96 : 15,164.16 = 3,088.56 : x
  2. Step 2: Convert to fraction form
    10,107.96/15,164.16 = 3,088.56/x
  3. Step 3: Cross multiply
    10,107.96x = 15,164.16 × 3,088.56
  4. Step 4: Simplify right side
    10,107.96x = 46,835,418.01
  5. Step 5: Solve for x
    x = 46,835,418.01/10,107.96
  6. Step 6: Final answer
    x = 4,633.52

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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.