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Finding the Fourth Proportional to 11,068.50, 15,266.90 and 6,588.78

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Solution

The fourth proportional to 11,068.50, 15,266.90 and 6,588.78 is: 9,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,068.50 : 15,266.90 = 6,588.78 : x
  2. Step 2: Convert to fraction form
    11,068.50/15,266.90 = 6,588.78/x
  3. Step 3: Cross multiply
    11,068.50x = 15,266.90 × 6,588.78
  4. Step 4: Simplify right side
    11,068.50x = 100,590,245.38
  5. Step 5: Solve for x
    x = 100,590,245.38/11,068.50
  6. Step 6: Final answer
    x = 9,087.97

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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.