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Finding the Fourth Proportional to 8,430.32, 11,627.24 and 5,446.46

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Solution

The fourth proportional to 8,430.32, 11,627.24 and 5,446.46 is: 7,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.32 : 11,627.24 = 5,446.46 : x
  2. Step 2: Convert to fraction form
    8,430.32/11,627.24 = 5,446.46/x
  3. Step 3: Cross multiply
    8,430.32x = 11,627.24 × 5,446.46
  4. Step 4: Simplify right side
    8,430.32x = 63,327,297.57
  5. Step 5: Solve for x
    x = 63,327,297.57/8,430.32
  6. Step 6: Final answer
    x = 7,511.85

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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.