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Finding the Fourth Proportional to 11,948.14, 17,922 and 4,156.78

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Solution

The fourth proportional to 11,948.14, 17,922 and 4,156.78 is: 6,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.14 : 17,922 = 4,156.78 : x
  2. Step 2: Convert to fraction form
    11,948.14/17,922 = 4,156.78/x
  3. Step 3: Cross multiply
    11,948.14x = 17,922 × 4,156.78
  4. Step 4: Simplify right side
    11,948.14x = 74,497,811.16
  5. Step 5: Solve for x
    x = 74,497,811.16/11,948.14
  6. Step 6: Final answer
    x = 6,235.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.