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Finding the Fourth Proportional to 7,872.33, 11,810.54 and 3,488.74

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Solution

The fourth proportional to 7,872.33, 11,810.54 and 3,488.74 is: 5,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.33 : 11,810.54 = 3,488.74 : x
  2. Step 2: Convert to fraction form
    7,872.33/11,810.54 = 3,488.74/x
  3. Step 3: Cross multiply
    7,872.33x = 11,810.54 × 3,488.74
  4. Step 4: Simplify right side
    7,872.33x = 41,203,903.32
  5. Step 5: Solve for x
    x = 41,203,903.32/7,872.33
  6. Step 6: Final answer
    x = 5,234.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.