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Finding the Fourth Proportional to 10,503.58, 15,745.64 and 3,924.76

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Solution

The fourth proportional to 10,503.58, 15,745.64 and 3,924.76 is: 5,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.58 : 15,745.64 = 3,924.76 : x
  2. Step 2: Convert to fraction form
    10,503.58/15,745.64 = 3,924.76/x
  3. Step 3: Cross multiply
    10,503.58x = 15,745.64 × 3,924.76
  4. Step 4: Simplify right side
    10,503.58x = 61,797,838.42
  5. Step 5: Solve for x
    x = 61,797,838.42/10,503.58
  6. Step 6: Final answer
    x = 5,883.50

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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.