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Finding the Fourth Proportional to 11,712.12, 17,539.74 and 6,439.08

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Solution

The fourth proportional to 11,712.12, 17,539.74 and 6,439.08 is: 9,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.12 : 17,539.74 = 6,439.08 : x
  2. Step 2: Convert to fraction form
    11,712.12/17,539.74 = 6,439.08/x
  3. Step 3: Cross multiply
    11,712.12x = 17,539.74 × 6,439.08
  4. Step 4: Simplify right side
    11,712.12x = 112,939,789.04
  5. Step 5: Solve for x
    x = 112,939,789.04/11,712.12
  6. Step 6: Final answer
    x = 9,642.98

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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.