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Finding the Fourth Proportional to 7,804.32, 10,767.12 and 5,008.80

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Solution

The fourth proportional to 7,804.32, 10,767.12 and 5,008.80 is: 6,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.32 : 10,767.12 = 5,008.80 : x
  2. Step 2: Convert to fraction form
    7,804.32/10,767.12 = 5,008.80/x
  3. Step 3: Cross multiply
    7,804.32x = 10,767.12 × 5,008.80
  4. Step 4: Simplify right side
    7,804.32x = 53,930,350.66
  5. Step 5: Solve for x
    x = 53,930,350.66/7,804.32
  6. Step 6: Final answer
    x = 6,910.32

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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.