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Finding the Fourth Proportional to 7,790.93, 10,747.75 and 5,663.16

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Solution

The fourth proportional to 7,790.93, 10,747.75 and 5,663.16 is: 7,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.93 : 10,747.75 = 5,663.16 : x
  2. Step 2: Convert to fraction form
    7,790.93/10,747.75 = 5,663.16/x
  3. Step 3: Cross multiply
    7,790.93x = 10,747.75 × 5,663.16
  4. Step 4: Simplify right side
    7,790.93x = 60,866,199.57
  5. Step 5: Solve for x
    x = 60,866,199.57/7,790.93
  6. Step 6: Final answer
    x = 7,812.44

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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.