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Finding the Fourth Proportional to 11,294.13, 15,584.09 and 7,099.41

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Solution

The fourth proportional to 11,294.13, 15,584.09 and 7,099.41 is: 9,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.13 : 15,584.09 = 7,099.41 : x
  2. Step 2: Convert to fraction form
    11,294.13/15,584.09 = 7,099.41/x
  3. Step 3: Cross multiply
    11,294.13x = 15,584.09 × 7,099.41
  4. Step 4: Simplify right side
    11,294.13x = 110,637,808.89
  5. Step 5: Solve for x
    x = 110,637,808.89/11,294.13
  6. Step 6: Final answer
    x = 9,796.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.