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Finding the Fourth Proportional to 7,701.86, 10,630.31 and 6,440.72

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Solution

The fourth proportional to 7,701.86, 10,630.31 and 6,440.72 is: 8,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.86 : 10,630.31 = 6,440.72 : x
  2. Step 2: Convert to fraction form
    7,701.86/10,630.31 = 6,440.72/x
  3. Step 3: Cross multiply
    7,701.86x = 10,630.31 × 6,440.72
  4. Step 4: Simplify right side
    7,701.86x = 68,466,818.02
  5. Step 5: Solve for x
    x = 68,466,818.02/7,701.86
  6. Step 6: Final answer
    x = 8,889.65

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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.