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Finding the Fourth Proportional to 8,176.64, 11,283.45 and 4,639.64

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Solution

The fourth proportional to 8,176.64, 11,283.45 and 4,639.64 is: 6,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.64 : 11,283.45 = 4,639.64 : x
  2. Step 2: Convert to fraction form
    8,176.64/11,283.45 = 4,639.64/x
  3. Step 3: Cross multiply
    8,176.64x = 11,283.45 × 4,639.64
  4. Step 4: Simplify right side
    8,176.64x = 52,351,145.96
  5. Step 5: Solve for x
    x = 52,351,145.96/8,176.64
  6. Step 6: Final answer
    x = 6,402.53

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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.