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Finding the Fourth Proportional to 7,867.54, 11,809.50 and 3,488.07

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Solution

The fourth proportional to 7,867.54, 11,809.50 and 3,488.07 is: 5,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.54 : 11,809.50 = 3,488.07 : x
  2. Step 2: Convert to fraction form
    7,867.54/11,809.50 = 3,488.07/x
  3. Step 3: Cross multiply
    7,867.54x = 11,809.50 × 3,488.07
  4. Step 4: Simplify right side
    7,867.54x = 41,192,362.67
  5. Step 5: Solve for x
    x = 41,192,362.67/7,867.54
  6. Step 6: Final answer
    x = 5,235.74

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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.