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Finding the Fourth Proportional to 8,264.75, 11,405.36 and 4,538.75

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Solution

The fourth proportional to 8,264.75, 11,405.36 and 4,538.75 is: 6,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.75 : 11,405.36 = 4,538.75 : x
  2. Step 2: Convert to fraction form
    8,264.75/11,405.36 = 4,538.75/x
  3. Step 3: Cross multiply
    8,264.75x = 11,405.36 × 4,538.75
  4. Step 4: Simplify right side
    8,264.75x = 51,766,055.01
  5. Step 5: Solve for x
    x = 51,766,055.01/8,264.75
  6. Step 6: Final answer
    x = 6,263.48

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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.