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Finding the Fourth Proportional to 11,656.19, 17,474.79 and 5,420.14

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Solution

The fourth proportional to 11,656.19, 17,474.79 and 5,420.14 is: 8,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.19 : 17,474.79 = 5,420.14 : x
  2. Step 2: Convert to fraction form
    11,656.19/17,474.79 = 5,420.14/x
  3. Step 3: Cross multiply
    11,656.19x = 17,474.79 × 5,420.14
  4. Step 4: Simplify right side
    11,656.19x = 94,715,808.27
  5. Step 5: Solve for x
    x = 94,715,808.27/11,656.19
  6. Step 6: Final answer
    x = 8,125.79

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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.