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Finding the Fourth Proportional to 25,337.50, 38,011.29 and 7,806.58

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Solution

The fourth proportional to 25,337.50, 38,011.29 and 7,806.58 is: 11,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337.50 : 38,011.29 = 7,806.58 : x
  2. Step 2: Convert to fraction form
    25,337.50/38,011.29 = 7,806.58/x
  3. Step 3: Cross multiply
    25,337.50x = 38,011.29 × 7,806.58
  4. Step 4: Simplify right side
    25,337.50x = 296,738,176.29
  5. Step 5: Solve for x
    x = 296,738,176.29/25,337.50
  6. Step 6: Final answer
    x = 11,711.42

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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.