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Finding the Fourth Proportional to 11,690.88, 17,511.40 and 9,460.16

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Solution

The fourth proportional to 11,690.88, 17,511.40 and 9,460.16 is: 14,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.88 : 17,511.40 = 9,460.16 : x
  2. Step 2: Convert to fraction form
    11,690.88/17,511.40 = 9,460.16/x
  3. Step 3: Cross multiply
    11,690.88x = 17,511.40 × 9,460.16
  4. Step 4: Simplify right side
    11,690.88x = 165,660,645.82
  5. Step 5: Solve for x
    x = 165,660,645.82/11,690.88
  6. Step 6: Final answer
    x = 14,170.07

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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.