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Finding the Fourth Proportional to 8,291.53, 11,441.73 and 4,706.56

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Solution

The fourth proportional to 8,291.53, 11,441.73 and 4,706.56 is: 6,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.53 : 11,441.73 = 4,706.56 : x
  2. Step 2: Convert to fraction form
    8,291.53/11,441.73 = 4,706.56/x
  3. Step 3: Cross multiply
    8,291.53x = 11,441.73 × 4,706.56
  4. Step 4: Simplify right side
    8,291.53x = 53,851,188.75
  5. Step 5: Solve for x
    x = 53,851,188.75/8,291.53
  6. Step 6: Final answer
    x = 6,494.72

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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.