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Finding the Fourth Proportional to 8,232.64, 11,361.47 and 4,695.77

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Solution

The fourth proportional to 8,232.64, 11,361.47 and 4,695.77 is: 6,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.64 : 11,361.47 = 4,695.77 : x
  2. Step 2: Convert to fraction form
    8,232.64/11,361.47 = 4,695.77/x
  3. Step 3: Cross multiply
    8,232.64x = 11,361.47 × 4,695.77
  4. Step 4: Simplify right side
    8,232.64x = 53,350,854.91
  5. Step 5: Solve for x
    x = 53,350,854.91/8,232.64
  6. Step 6: Final answer
    x = 6,480.41

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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.