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Finding the Fourth Proportional to 8,232.52, 11,357.40 and 5,047.06

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Solution

The fourth proportional to 8,232.52, 11,357.40 and 5,047.06 is: 6,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.52 : 11,357.40 = 5,047.06 : x
  2. Step 2: Convert to fraction form
    8,232.52/11,357.40 = 5,047.06/x
  3. Step 3: Cross multiply
    8,232.52x = 11,357.40 × 5,047.06
  4. Step 4: Simplify right side
    8,232.52x = 57,321,479.24
  5. Step 5: Solve for x
    x = 57,321,479.24/8,232.52
  6. Step 6: Final answer
    x = 6,962.81

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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.