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Finding the Fourth Proportional to 8,264.08, 12,392.34 and 4,933.84

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Solution

The fourth proportional to 8,264.08, 12,392.34 and 4,933.84 is: 7,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.08 : 12,392.34 = 4,933.84 : x
  2. Step 2: Convert to fraction form
    8,264.08/12,392.34 = 4,933.84/x
  3. Step 3: Cross multiply
    8,264.08x = 12,392.34 × 4,933.84
  4. Step 4: Simplify right side
    8,264.08x = 61,141,822.79
  5. Step 5: Solve for x
    x = 61,141,822.79/8,264.08
  6. Step 6: Final answer
    x = 7,398.50

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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.