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Finding the Fourth Proportional to 7,311.52, 10,089.12 and 4,286.16

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Solution

The fourth proportional to 7,311.52, 10,089.12 and 4,286.16 is: 5,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.52 : 10,089.12 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    7,311.52/10,089.12 = 4,286.16/x
  3. Step 3: Cross multiply
    7,311.52x = 10,089.12 × 4,286.16
  4. Step 4: Simplify right side
    7,311.52x = 43,243,582.58
  5. Step 5: Solve for x
    x = 43,243,582.58/7,311.52
  6. Step 6: Final answer
    x = 5,914.44

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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.