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Finding the Fourth Proportional to 8,244.84, 11,379.60 and 7,580.64

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Solution

The fourth proportional to 8,244.84, 11,379.60 and 7,580.64 is: 10,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.84 : 11,379.60 = 7,580.64 : x
  2. Step 2: Convert to fraction form
    8,244.84/11,379.60 = 7,580.64/x
  3. Step 3: Cross multiply
    8,244.84x = 11,379.60 × 7,580.64
  4. Step 4: Simplify right side
    8,244.84x = 86,264,679.39
  5. Step 5: Solve for x
    x = 86,264,679.39/8,244.84
  6. Step 6: Final answer
    x = 10,462.87

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