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Finding the Fourth Proportional to 8,261.64, 11,400.36 and 4,724.16

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Solution

The fourth proportional to 8,261.64, 11,400.36 and 4,724.16 is: 6,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.64 : 11,400.36 = 4,724.16 : x
  2. Step 2: Convert to fraction form
    8,261.64/11,400.36 = 4,724.16/x
  3. Step 3: Cross multiply
    8,261.64x = 11,400.36 × 4,724.16
  4. Step 4: Simplify right side
    8,261.64x = 53,857,124.70
  5. Step 5: Solve for x
    x = 53,857,124.70/8,261.64
  6. Step 6: Final answer
    x = 6,518.94

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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.