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Finding the Fourth Proportional to 7,743.68, 11,605.76 and 4,818

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Solution

The fourth proportional to 7,743.68, 11,605.76 and 4,818 is: 7,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.68 : 11,605.76 = 4,818 : x
  2. Step 2: Convert to fraction form
    7,743.68/11,605.76 = 4,818/x
  3. Step 3: Cross multiply
    7,743.68x = 11,605.76 × 4,818
  4. Step 4: Simplify right side
    7,743.68x = 55,916,551.68
  5. Step 5: Solve for x
    x = 55,916,551.68/7,743.68
  6. Step 6: Final answer
    x = 7,220.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.