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Finding the Fourth Proportional to 7,769.97, 10,723.95 and 4,583.07

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Solution

The fourth proportional to 7,769.97, 10,723.95 and 4,583.07 is: 6,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.97 : 10,723.95 = 4,583.07 : x
  2. Step 2: Convert to fraction form
    7,769.97/10,723.95 = 4,583.07/x
  3. Step 3: Cross multiply
    7,769.97x = 10,723.95 × 4,583.07
  4. Step 4: Simplify right side
    7,769.97x = 49,148,640.34
  5. Step 5: Solve for x
    x = 49,148,640.34/7,769.97
  6. Step 6: Final answer
    x = 6,325.46

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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.