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Finding the Fourth Proportional to 11,003, 15,184.14 and 6,035

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Solution

The fourth proportional to 11,003, 15,184.14 and 6,035 is: 8,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003 : 15,184.14 = 6,035 : x
  2. Step 2: Convert to fraction form
    11,003/15,184.14 = 6,035/x
  3. Step 3: Cross multiply
    11,003x = 15,184.14 × 6,035
  4. Step 4: Simplify right side
    11,003x = 91,636,284.90
  5. Step 5: Solve for x
    x = 91,636,284.90/11,003
  6. Step 6: Final answer
    x = 8,328.30

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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.