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Finding the Fourth Proportional to 8,340.95, 12,507.74 and 2,496.47

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Solution

The fourth proportional to 8,340.95, 12,507.74 and 2,496.47 is: 3,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.95 : 12,507.74 = 2,496.47 : x
  2. Step 2: Convert to fraction form
    8,340.95/12,507.74 = 2,496.47/x
  3. Step 3: Cross multiply
    8,340.95x = 12,507.74 × 2,496.47
  4. Step 4: Simplify right side
    8,340.95x = 31,225,185.20
  5. Step 5: Solve for x
    x = 31,225,185.20/8,340.95
  6. Step 6: Final answer
    x = 3,743.60

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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.