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Finding the Fourth Proportional to 7,115.26, 9,817.68 and 4,756

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Solution

The fourth proportional to 7,115.26, 9,817.68 and 4,756 is: 6,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.26 : 9,817.68 = 4,756 : x
  2. Step 2: Convert to fraction form
    7,115.26/9,817.68 = 4,756/x
  3. Step 3: Cross multiply
    7,115.26x = 9,817.68 × 4,756
  4. Step 4: Simplify right side
    7,115.26x = 46,692,886.08
  5. Step 5: Solve for x
    x = 46,692,886.08/7,115.26
  6. Step 6: Final answer
    x = 6,562.36

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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.