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Finding the Fourth Proportional to 12,357.76, 18,544.26 and 4,860

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Solution

The fourth proportional to 12,357.76, 18,544.26 and 4,860 is: 7,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.76 : 18,544.26 = 4,860 : x
  2. Step 2: Convert to fraction form
    12,357.76/18,544.26 = 4,860/x
  3. Step 3: Cross multiply
    12,357.76x = 18,544.26 × 4,860
  4. Step 4: Simplify right side
    12,357.76x = 90,125,103.60
  5. Step 5: Solve for x
    x = 90,125,103.60/12,357.76
  6. Step 6: Final answer
    x = 7,293.00

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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.