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Finding the Fourth Proportional to 8,537.88, 12,807.48 and 3,275.41

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Solution

The fourth proportional to 8,537.88, 12,807.48 and 3,275.41 is: 4,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.88 : 12,807.48 = 3,275.41 : x
  2. Step 2: Convert to fraction form
    8,537.88/12,807.48 = 3,275.41/x
  3. Step 3: Cross multiply
    8,537.88x = 12,807.48 × 3,275.41
  4. Step 4: Simplify right side
    8,537.88x = 41,949,748.07
  5. Step 5: Solve for x
    x = 41,949,748.07/8,537.88
  6. Step 6: Final answer
    x = 4,913.37

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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.