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Finding the Fourth Proportional to 8,038.73, 12,058.10 and 2,195.50

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Solution

The fourth proportional to 8,038.73, 12,058.10 and 2,195.50 is: 3,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.73 : 12,058.10 = 2,195.50 : x
  2. Step 2: Convert to fraction form
    8,038.73/12,058.10 = 2,195.50/x
  3. Step 3: Cross multiply
    8,038.73x = 12,058.10 × 2,195.50
  4. Step 4: Simplify right side
    8,038.73x = 26,473,487.28
  5. Step 5: Solve for x
    x = 26,473,487.28/8,038.73
  6. Step 6: Final answer
    x = 3,293.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.