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Finding the Fourth Proportional to 10,202.74, 15,289.75 and 8,113.46

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Solution

The fourth proportional to 10,202.74, 15,289.75 and 8,113.46 is: 12,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.74 : 15,289.75 = 8,113.46 : x
  2. Step 2: Convert to fraction form
    10,202.74/15,289.75 = 8,113.46/x
  3. Step 3: Cross multiply
    10,202.74x = 15,289.75 × 8,113.46
  4. Step 4: Simplify right side
    10,202.74x = 124,052,775.04
  5. Step 5: Solve for x
    x = 124,052,775.04/10,202.74
  6. Step 6: Final answer
    x = 12,158.77

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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.