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Finding the Fourth Proportional to 11,394, 17,099.10 and 4,468.50

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Solution

The fourth proportional to 11,394, 17,099.10 and 4,468.50 is: 6,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 17,099.10 = 4,468.50 : x
  2. Step 2: Convert to fraction form
    11,394/17,099.10 = 4,468.50/x
  3. Step 3: Cross multiply
    11,394x = 17,099.10 × 4,468.50
  4. Step 4: Simplify right side
    11,394x = 76,407,328.35
  5. Step 5: Solve for x
    x = 76,407,328.35/11,394
  6. Step 6: Final answer
    x = 6,705.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.