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Finding the Fourth Proportional to 11,496.51, 17,246.31 and 4,102.95

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Solution

The fourth proportional to 11,496.51, 17,246.31 and 4,102.95 is: 6,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.51 : 17,246.31 = 4,102.95 : x
  2. Step 2: Convert to fraction form
    11,496.51/17,246.31 = 4,102.95/x
  3. Step 3: Cross multiply
    11,496.51x = 17,246.31 × 4,102.95
  4. Step 4: Simplify right side
    11,496.51x = 70,760,747.61
  5. Step 5: Solve for x
    x = 70,760,747.61/11,496.51
  6. Step 6: Final answer
    x = 6,154.98

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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.