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Finding the Fourth Proportional to 12,535.34, 18,793.80 and 7,604.06

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Solution

The fourth proportional to 12,535.34, 18,793.80 and 7,604.06 is: 11,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.34 : 18,793.80 = 7,604.06 : x
  2. Step 2: Convert to fraction form
    12,535.34/18,793.80 = 7,604.06/x
  3. Step 3: Cross multiply
    12,535.34x = 18,793.80 × 7,604.06
  4. Step 4: Simplify right side
    12,535.34x = 142,909,088.86
  5. Step 5: Solve for x
    x = 142,909,088.86/12,535.34
  6. Step 6: Final answer
    x = 11,400.50

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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.