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Finding the Fourth Proportional to 10,102.86, 15,154.56 and 5,485.86

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Solution

The fourth proportional to 10,102.86, 15,154.56 and 5,485.86 is: 8,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.86 : 15,154.56 = 5,485.86 : x
  2. Step 2: Convert to fraction form
    10,102.86/15,154.56 = 5,485.86/x
  3. Step 3: Cross multiply
    10,102.86x = 15,154.56 × 5,485.86
  4. Step 4: Simplify right side
    10,102.86x = 83,135,794.52
  5. Step 5: Solve for x
    x = 83,135,794.52/10,102.86
  6. Step 6: Final answer
    x = 8,228.94

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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.