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Finding the Fourth Proportional to 8,243.04, 11,375.28 and 4,706.16

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Solution

The fourth proportional to 8,243.04, 11,375.28 and 4,706.16 is: 6,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.04 : 11,375.28 = 4,706.16 : x
  2. Step 2: Convert to fraction form
    8,243.04/11,375.28 = 4,706.16/x
  3. Step 3: Cross multiply
    8,243.04x = 11,375.28 × 4,706.16
  4. Step 4: Simplify right side
    8,243.04x = 53,533,887.72
  5. Step 5: Solve for x
    x = 53,533,887.72/8,243.04
  6. Step 6: Final answer
    x = 6,494.44

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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.