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Finding the Fourth Proportional to 7,565.97, 10,440.89 and 4,208.67

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Solution

The fourth proportional to 7,565.97, 10,440.89 and 4,208.67 is: 5,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.97 : 10,440.89 = 4,208.67 : x
  2. Step 2: Convert to fraction form
    7,565.97/10,440.89 = 4,208.67/x
  3. Step 3: Cross multiply
    7,565.97x = 10,440.89 × 4,208.67
  4. Step 4: Simplify right side
    7,565.97x = 43,942,260.52
  5. Step 5: Solve for x
    x = 43,942,260.52/7,565.97
  6. Step 6: Final answer
    x = 5,807.88

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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.