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Finding the Fourth Proportional to 12,593.40, 18,878.10 and 4,693.80

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Solution

The fourth proportional to 12,593.40, 18,878.10 and 4,693.80 is: 7,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.40 : 18,878.10 = 4,693.80 : x
  2. Step 2: Convert to fraction form
    12,593.40/18,878.10 = 4,693.80/x
  3. Step 3: Cross multiply
    12,593.40x = 18,878.10 × 4,693.80
  4. Step 4: Simplify right side
    12,593.40x = 88,610,025.78
  5. Step 5: Solve for x
    x = 88,610,025.78/12,593.40
  6. Step 6: Final answer
    x = 7,036.23

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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.