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Finding the Fourth Proportional to 8,231.16, 11,357.46 and 5,435

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Solution

The fourth proportional to 8,231.16, 11,357.46 and 5,435 is: 7,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.16 : 11,357.46 = 5,435 : x
  2. Step 2: Convert to fraction form
    8,231.16/11,357.46 = 5,435/x
  3. Step 3: Cross multiply
    8,231.16x = 11,357.46 × 5,435
  4. Step 4: Simplify right side
    8,231.16x = 61,727,795.10
  5. Step 5: Solve for x
    x = 61,727,795.10/8,231.16
  6. Step 6: Final answer
    x = 7,499.28

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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.