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Finding the Fourth Proportional to 8,832.34, 13,248.51 and 3,907

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Solution

The fourth proportional to 8,832.34, 13,248.51 and 3,907 is: 5,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.34 : 13,248.51 = 3,907 : x
  2. Step 2: Convert to fraction form
    8,832.34/13,248.51 = 3,907/x
  3. Step 3: Cross multiply
    8,832.34x = 13,248.51 × 3,907
  4. Step 4: Simplify right side
    8,832.34x = 51,761,928.57
  5. Step 5: Solve for x
    x = 51,761,928.57/8,832.34
  6. Step 6: Final answer
    x = 5,860.50

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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.