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Finding the Fourth Proportional to 7,754.64, 11,632.33 and 2,208.36

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Solution

The fourth proportional to 7,754.64, 11,632.33 and 2,208.36 is: 3,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.64 : 11,632.33 = 2,208.36 : x
  2. Step 2: Convert to fraction form
    7,754.64/11,632.33 = 2,208.36/x
  3. Step 3: Cross multiply
    7,754.64x = 11,632.33 × 2,208.36
  4. Step 4: Simplify right side
    7,754.64x = 25,688,406.24
  5. Step 5: Solve for x
    x = 25,688,406.24/7,754.64
  6. Step 6: Final answer
    x = 3,312.65

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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.