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Finding the Fourth Proportional to 10,690.14, 16,037.64 and 4,848.42

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Solution

The fourth proportional to 10,690.14, 16,037.64 and 4,848.42 is: 7,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.14 : 16,037.64 = 4,848.42 : x
  2. Step 2: Convert to fraction form
    10,690.14/16,037.64 = 4,848.42/x
  3. Step 3: Cross multiply
    10,690.14x = 16,037.64 × 4,848.42
  4. Step 4: Simplify right side
    10,690.14x = 77,757,214.53
  5. Step 5: Solve for x
    x = 77,757,214.53/10,690.14
  6. Step 6: Final answer
    x = 7,273.73

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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.