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Finding the Fourth Proportional to 7,700.64, 11,532.30 and 4,403.73

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Solution

The fourth proportional to 7,700.64, 11,532.30 and 4,403.73 is: 6,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.64 : 11,532.30 = 4,403.73 : x
  2. Step 2: Convert to fraction form
    7,700.64/11,532.30 = 4,403.73/x
  3. Step 3: Cross multiply
    7,700.64x = 11,532.30 × 4,403.73
  4. Step 4: Simplify right side
    7,700.64x = 50,785,135.48
  5. Step 5: Solve for x
    x = 50,785,135.48/7,700.64
  6. Step 6: Final answer
    x = 6,594.92

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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.