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Finding the Fourth Proportional to 7,664.75, 10,577.03 and 4,478.22

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Solution

The fourth proportional to 7,664.75, 10,577.03 and 4,478.22 is: 6,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.75 : 10,577.03 = 4,478.22 : x
  2. Step 2: Convert to fraction form
    7,664.75/10,577.03 = 4,478.22/x
  3. Step 3: Cross multiply
    7,664.75x = 10,577.03 × 4,478.22
  4. Step 4: Simplify right side
    7,664.75x = 47,366,314.71
  5. Step 5: Solve for x
    x = 47,366,314.71/7,664.75
  6. Step 6: Final answer
    x = 6,179.76

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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.