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Finding the Fourth Proportional to 7,632.84, 10,529.40 and 6,298.80

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Solution

The fourth proportional to 7,632.84, 10,529.40 and 6,298.80 is: 8,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.84 : 10,529.40 = 6,298.80 : x
  2. Step 2: Convert to fraction form
    7,632.84/10,529.40 = 6,298.80/x
  3. Step 3: Cross multiply
    7,632.84x = 10,529.40 × 6,298.80
  4. Step 4: Simplify right side
    7,632.84x = 66,322,584.72
  5. Step 5: Solve for x
    x = 66,322,584.72/7,632.84
  6. Step 6: Final answer
    x = 8,689.11

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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.