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Finding the Fourth Proportional to 8,827.38, 13,241.07 and 3,564.78

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Solution

The fourth proportional to 8,827.38, 13,241.07 and 3,564.78 is: 5,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.38 : 13,241.07 = 3,564.78 : x
  2. Step 2: Convert to fraction form
    8,827.38/13,241.07 = 3,564.78/x
  3. Step 3: Cross multiply
    8,827.38x = 13,241.07 × 3,564.78
  4. Step 4: Simplify right side
    8,827.38x = 47,201,501.51
  5. Step 5: Solve for x
    x = 47,201,501.51/8,827.38
  6. Step 6: Final answer
    x = 5,347.17

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