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Finding the Fourth Proportional to 10,622.09, 15,935.07 and 4,378.70

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Solution

The fourth proportional to 10,622.09, 15,935.07 and 4,378.70 is: 6,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.09 : 15,935.07 = 4,378.70 : x
  2. Step 2: Convert to fraction form
    10,622.09/15,935.07 = 4,378.70/x
  3. Step 3: Cross multiply
    10,622.09x = 15,935.07 × 4,378.70
  4. Step 4: Simplify right side
    10,622.09x = 69,774,891.01
  5. Step 5: Solve for x
    x = 69,774,891.01/10,622.09
  6. Step 6: Final answer
    x = 6,568.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.