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Finding the Fourth Proportional to 7,881.64, 11,823.22 and 2,615.53

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Solution

The fourth proportional to 7,881.64, 11,823.22 and 2,615.53 is: 3,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.64 : 11,823.22 = 2,615.53 : x
  2. Step 2: Convert to fraction form
    7,881.64/11,823.22 = 2,615.53/x
  3. Step 3: Cross multiply
    7,881.64x = 11,823.22 × 2,615.53
  4. Step 4: Simplify right side
    7,881.64x = 30,923,986.61
  5. Step 5: Solve for x
    x = 30,923,986.61/7,881.64
  6. Step 6: Final answer
    x = 3,923.55

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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.