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Finding the Fourth Proportional to 6,951.64, 10,431.52 and 2,572.16

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Solution

The fourth proportional to 6,951.64, 10,431.52 and 2,572.16 is: 3,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.64 : 10,431.52 = 2,572.16 : x
  2. Step 2: Convert to fraction form
    6,951.64/10,431.52 = 2,572.16/x
  3. Step 3: Cross multiply
    6,951.64x = 10,431.52 × 2,572.16
  4. Step 4: Simplify right side
    6,951.64x = 26,831,538.48
  5. Step 5: Solve for x
    x = 26,831,538.48/6,951.64
  6. Step 6: Final answer
    x = 3,859.74

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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.