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Finding the Fourth Proportional to 11,033, 15,225.78 and 6,065

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Solution

The fourth proportional to 11,033, 15,225.78 and 6,065 is: 8,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033 : 15,225.78 = 6,065 : x
  2. Step 2: Convert to fraction form
    11,033/15,225.78 = 6,065/x
  3. Step 3: Cross multiply
    11,033x = 15,225.78 × 6,065
  4. Step 4: Simplify right side
    11,033x = 92,344,355.70
  5. Step 5: Solve for x
    x = 92,344,355.70/11,033
  6. Step 6: Final answer
    x = 8,369.83

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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.