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Finding the Fourth Proportional to 7,701.43, 10,604.67 and 6,352.02

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Solution

The fourth proportional to 7,701.43, 10,604.67 and 6,352.02 is: 8,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.43 : 10,604.67 = 6,352.02 : x
  2. Step 2: Convert to fraction form
    7,701.43/10,604.67 = 6,352.02/x
  3. Step 3: Cross multiply
    7,701.43x = 10,604.67 × 6,352.02
  4. Step 4: Simplify right side
    7,701.43x = 67,361,087.84
  5. Step 5: Solve for x
    x = 67,361,087.84/7,701.43
  6. Step 6: Final answer
    x = 8,746.57

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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.