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Finding the Fourth Proportional to 8,427.53, 11,629.78 and 4,650.64

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Solution

The fourth proportional to 8,427.53, 11,629.78 and 4,650.64 is: 6,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.53 : 11,629.78 = 4,650.64 : x
  2. Step 2: Convert to fraction form
    8,427.53/11,629.78 = 4,650.64/x
  3. Step 3: Cross multiply
    8,427.53x = 11,629.78 × 4,650.64
  4. Step 4: Simplify right side
    8,427.53x = 54,085,925.88
  5. Step 5: Solve for x
    x = 54,085,925.88/8,427.53
  6. Step 6: Final answer
    x = 6,417.77

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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.