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Finding the Fourth Proportional to 11,868.64, 17,801.76 and 4,078

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Solution

The fourth proportional to 11,868.64, 17,801.76 and 4,078 is: 6,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.64 : 17,801.76 = 4,078 : x
  2. Step 2: Convert to fraction form
    11,868.64/17,801.76 = 4,078/x
  3. Step 3: Cross multiply
    11,868.64x = 17,801.76 × 4,078
  4. Step 4: Simplify right side
    11,868.64x = 72,595,577.28
  5. Step 5: Solve for x
    x = 72,595,577.28/11,868.64
  6. Step 6: Final answer
    x = 6,116.59

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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.