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Finding the Fourth Proportional to 7,900.91, 10,906.74 and 4,715.31

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Solution

The fourth proportional to 7,900.91, 10,906.74 and 4,715.31 is: 6,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.91 : 10,906.74 = 4,715.31 : x
  2. Step 2: Convert to fraction form
    7,900.91/10,906.74 = 4,715.31/x
  3. Step 3: Cross multiply
    7,900.91x = 10,906.74 × 4,715.31
  4. Step 4: Simplify right side
    7,900.91x = 51,428,660.19
  5. Step 5: Solve for x
    x = 51,428,660.19/7,900.91
  6. Step 6: Final answer
    x = 6,509.21

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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.