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Finding the Fourth Proportional to 8,352.75, 12,529.28 and 3,907.95

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Solution

The fourth proportional to 8,352.75, 12,529.28 and 3,907.95 is: 5,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.75 : 12,529.28 = 3,907.95 : x
  2. Step 2: Convert to fraction form
    8,352.75/12,529.28 = 3,907.95/x
  3. Step 3: Cross multiply
    8,352.75x = 12,529.28 × 3,907.95
  4. Step 4: Simplify right side
    8,352.75x = 48,963,780.24
  5. Step 5: Solve for x
    x = 48,963,780.24/8,352.75
  6. Step 6: Final answer
    x = 5,862.00

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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.