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Finding the Fourth Proportional to 8,237.69, 11,368.83 and 4,701.43

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Solution

The fourth proportional to 8,237.69, 11,368.83 and 4,701.43 is: 6,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.69 : 11,368.83 = 4,701.43 : x
  2. Step 2: Convert to fraction form
    8,237.69/11,368.83 = 4,701.43/x
  3. Step 3: Cross multiply
    8,237.69x = 11,368.83 × 4,701.43
  4. Step 4: Simplify right side
    8,237.69x = 53,449,775.10
  5. Step 5: Solve for x
    x = 53,449,775.10/8,237.69
  6. Step 6: Final answer
    x = 6,488.44

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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.