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Finding the Fourth Proportional to 8,208.34, 11,314.29 and 5,554.78

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Solution

The fourth proportional to 8,208.34, 11,314.29 and 5,554.78 is: 7,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.34 : 11,314.29 = 5,554.78 : x
  2. Step 2: Convert to fraction form
    8,208.34/11,314.29 = 5,554.78/x
  3. Step 3: Cross multiply
    8,208.34x = 11,314.29 × 5,554.78
  4. Step 4: Simplify right side
    8,208.34x = 62,848,391.81
  5. Step 5: Solve for x
    x = 62,848,391.81/8,208.34
  6. Step 6: Final answer
    x = 7,656.65

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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.