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Finding the Fourth Proportional to 7,311.16, 10,089.06 and 4,286.80

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Solution

The fourth proportional to 7,311.16, 10,089.06 and 4,286.80 is: 5,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.16 : 10,089.06 = 4,286.80 : x
  2. Step 2: Convert to fraction form
    7,311.16/10,089.06 = 4,286.80/x
  3. Step 3: Cross multiply
    7,311.16x = 10,089.06 × 4,286.80
  4. Step 4: Simplify right side
    7,311.16x = 43,249,782.41
  5. Step 5: Solve for x
    x = 43,249,782.41/7,311.16
  6. Step 6: Final answer
    x = 5,915.58

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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.