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Finding the Fourth Proportional to 11,409.46, 17,113.02 and 3,089.14

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Solution

The fourth proportional to 11,409.46, 17,113.02 and 3,089.14 is: 4,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.46 : 17,113.02 = 3,089.14 : x
  2. Step 2: Convert to fraction form
    11,409.46/17,113.02 = 3,089.14/x
  3. Step 3: Cross multiply
    11,409.46x = 17,113.02 × 3,089.14
  4. Step 4: Simplify right side
    11,409.46x = 52,864,514.60
  5. Step 5: Solve for x
    x = 52,864,514.60/11,409.46
  6. Step 6: Final answer
    x = 4,633.39

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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.