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Finding the Fourth Proportional to 8,569.78, 12,856.17 and 3,026.35

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Solution

The fourth proportional to 8,569.78, 12,856.17 and 3,026.35 is: 4,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.78 : 12,856.17 = 3,026.35 : x
  2. Step 2: Convert to fraction form
    8,569.78/12,856.17 = 3,026.35/x
  3. Step 3: Cross multiply
    8,569.78x = 12,856.17 × 3,026.35
  4. Step 4: Simplify right side
    8,569.78x = 38,907,270.08
  5. Step 5: Solve for x
    x = 38,907,270.08/8,569.78
  6. Step 6: Final answer
    x = 4,540.05

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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.