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Finding the Fourth Proportional to 8,102.89, 12,154.43 and 2,259.14

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Solution

The fourth proportional to 8,102.89, 12,154.43 and 2,259.14 is: 3,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.89 : 12,154.43 = 2,259.14 : x
  2. Step 2: Convert to fraction form
    8,102.89/12,154.43 = 2,259.14/x
  3. Step 3: Cross multiply
    8,102.89x = 12,154.43 × 2,259.14
  4. Step 4: Simplify right side
    8,102.89x = 27,458,547.69
  5. Step 5: Solve for x
    x = 27,458,547.69/8,102.89
  6. Step 6: Final answer
    x = 3,388.74

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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.