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Finding the Fourth Proportional to 8,242.32, 11,370.45 and 5,408.55

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Solution

The fourth proportional to 8,242.32, 11,370.45 and 5,408.55 is: 7,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.32 : 11,370.45 = 5,408.55 : x
  2. Step 2: Convert to fraction form
    8,242.32/11,370.45 = 5,408.55/x
  3. Step 3: Cross multiply
    8,242.32x = 11,370.45 × 5,408.55
  4. Step 4: Simplify right side
    8,242.32x = 61,497,647.35
  5. Step 5: Solve for x
    x = 61,497,647.35/8,242.32
  6. Step 6: Final answer
    x = 7,461.21

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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.