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Finding the Fourth Proportional to 7,877.46, 11,824.43 and 3,498.02

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Solution

The fourth proportional to 7,877.46, 11,824.43 and 3,498.02 is: 5,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.46 : 11,824.43 = 3,498.02 : x
  2. Step 2: Convert to fraction form
    7,877.46/11,824.43 = 3,498.02/x
  3. Step 3: Cross multiply
    7,877.46x = 11,824.43 × 3,498.02
  4. Step 4: Simplify right side
    7,877.46x = 41,362,092.63
  5. Step 5: Solve for x
    x = 41,362,092.63/7,877.46
  6. Step 6: Final answer
    x = 5,250.69

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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.