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Finding the Fourth Proportional to 7,804.52, 10,769.48 and 4,447.52

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Solution

The fourth proportional to 7,804.52, 10,769.48 and 4,447.52 is: 6,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.52 : 10,769.48 = 4,447.52 : x
  2. Step 2: Convert to fraction form
    7,804.52/10,769.48 = 4,447.52/x
  3. Step 3: Cross multiply
    7,804.52x = 10,769.48 × 4,447.52
  4. Step 4: Simplify right side
    7,804.52x = 47,897,477.69
  5. Step 5: Solve for x
    x = 47,897,477.69/7,804.52
  6. Step 6: Final answer
    x = 6,137.15

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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.