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Finding the Fourth Proportional to 7,721.68, 10,628.84 and 6,835.92

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Solution

The fourth proportional to 7,721.68, 10,628.84 and 6,835.92 is: 9,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.68 : 10,628.84 = 6,835.92 : x
  2. Step 2: Convert to fraction form
    7,721.68/10,628.84 = 6,835.92/x
  3. Step 3: Cross multiply
    7,721.68x = 10,628.84 × 6,835.92
  4. Step 4: Simplify right side
    7,721.68x = 72,657,899.93
  5. Step 5: Solve for x
    x = 72,657,899.93/7,721.68
  6. Step 6: Final answer
    x = 9,409.60

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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.