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Finding the Fourth Proportional to 8,041.60, 12,058.08 and 2,492.56

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Solution

The fourth proportional to 8,041.60, 12,058.08 and 2,492.56 is: 3,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.60 : 12,058.08 = 2,492.56 : x
  2. Step 2: Convert to fraction form
    8,041.60/12,058.08 = 2,492.56/x
  3. Step 3: Cross multiply
    8,041.60x = 12,058.08 × 2,492.56
  4. Step 4: Simplify right side
    8,041.60x = 30,055,487.88
  5. Step 5: Solve for x
    x = 30,055,487.88/8,041.60
  6. Step 6: Final answer
    x = 3,737.50

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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.