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Finding the Fourth Proportional to 5,272.32, 7,894.88 and 5,116.64

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Solution

The fourth proportional to 5,272.32, 7,894.88 and 5,116.64 is: 7,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.32 : 7,894.88 = 5,116.64 : x
  2. Step 2: Convert to fraction form
    5,272.32/7,894.88 = 5,116.64/x
  3. Step 3: Cross multiply
    5,272.32x = 7,894.88 × 5,116.64
  4. Step 4: Simplify right side
    5,272.32x = 40,395,258.80
  5. Step 5: Solve for x
    x = 40,395,258.80/5,272.32
  6. Step 6: Final answer
    x = 7,661.76

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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.