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Finding the Fourth Proportional to 11,568.30, 15,963.12 and 6,851.67

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Solution

The fourth proportional to 11,568.30, 15,963.12 and 6,851.67 is: 9,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.30 : 15,963.12 = 6,851.67 : x
  2. Step 2: Convert to fraction form
    11,568.30/15,963.12 = 6,851.67/x
  3. Step 3: Cross multiply
    11,568.30x = 15,963.12 × 6,851.67
  4. Step 4: Simplify right side
    11,568.30x = 109,374,030.41
  5. Step 5: Solve for x
    x = 109,374,030.41/11,568.30
  6. Step 6: Final answer
    x = 9,454.63

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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.