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Finding the Fourth Proportional to 7,664.71, 10,577.30 and 4,480.20

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Solution

The fourth proportional to 7,664.71, 10,577.30 and 4,480.20 is: 6,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.71 : 10,577.30 = 4,480.20 : x
  2. Step 2: Convert to fraction form
    7,664.71/10,577.30 = 4,480.20/x
  3. Step 3: Cross multiply
    7,664.71x = 10,577.30 × 4,480.20
  4. Step 4: Simplify right side
    7,664.71x = 47,388,419.46
  5. Step 5: Solve for x
    x = 47,388,419.46/7,664.71
  6. Step 6: Final answer
    x = 6,182.68

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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.