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Finding the Fourth Proportional to 25,234.88, 37,857.72 and 7,706

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Solution

The fourth proportional to 25,234.88, 37,857.72 and 7,706 is: 11,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.88 : 37,857.72 = 7,706 : x
  2. Step 2: Convert to fraction form
    25,234.88/37,857.72 = 7,706/x
  3. Step 3: Cross multiply
    25,234.88x = 37,857.72 × 7,706
  4. Step 4: Simplify right side
    25,234.88x = 291,731,590.32
  5. Step 5: Solve for x
    x = 291,731,590.32/25,234.88
  6. Step 6: Final answer
    x = 11,560.65

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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.