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Finding the Fourth Proportional to 10,202.66, 15,289.62 and 8,113.38

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Solution

The fourth proportional to 10,202.66, 15,289.62 and 8,113.38 is: 12,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.66 : 15,289.62 = 8,113.38 : x
  2. Step 2: Convert to fraction form
    10,202.66/15,289.62 = 8,113.38/x
  3. Step 3: Cross multiply
    10,202.66x = 15,289.62 × 8,113.38
  4. Step 4: Simplify right side
    10,202.66x = 124,050,497.12
  5. Step 5: Solve for x
    x = 124,050,497.12/10,202.66
  6. Step 6: Final answer
    x = 12,158.65

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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.