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Finding the Fourth Proportional to 8,352.56, 12,533.16 and 3,969.20

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Solution

The fourth proportional to 8,352.56, 12,533.16 and 3,969.20 is: 5,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.56 : 12,533.16 = 3,969.20 : x
  2. Step 2: Convert to fraction form
    8,352.56/12,533.16 = 3,969.20/x
  3. Step 3: Cross multiply
    8,352.56x = 12,533.16 × 3,969.20
  4. Step 4: Simplify right side
    8,352.56x = 49,746,618.67
  5. Step 5: Solve for x
    x = 49,746,618.67/8,352.56
  6. Step 6: Final answer
    x = 5,955.85

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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.