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Finding the Fourth Proportional to 8,238.42, 11,368.50 and 4,702.80

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Solution

The fourth proportional to 8,238.42, 11,368.50 and 4,702.80 is: 6,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.42 : 11,368.50 = 4,702.80 : x
  2. Step 2: Convert to fraction form
    8,238.42/11,368.50 = 4,702.80/x
  3. Step 3: Cross multiply
    8,238.42x = 11,368.50 × 4,702.80
  4. Step 4: Simplify right side
    8,238.42x = 53,463,781.80
  5. Step 5: Solve for x
    x = 53,463,781.80/8,238.42
  6. Step 6: Final answer
    x = 6,489.57

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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.