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Finding the Fourth Proportional to 10,107.54, 15,128.78 and 5,415.75

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Solution

The fourth proportional to 10,107.54, 15,128.78 and 5,415.75 is: 8,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.54 : 15,128.78 = 5,415.75 : x
  2. Step 2: Convert to fraction form
    10,107.54/15,128.78 = 5,415.75/x
  3. Step 3: Cross multiply
    10,107.54x = 15,128.78 × 5,415.75
  4. Step 4: Simplify right side
    10,107.54x = 81,933,663.21
  5. Step 5: Solve for x
    x = 81,933,663.21/10,107.54
  6. Step 6: Final answer
    x = 8,106.19

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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.