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Finding the Fourth Proportional to 7,802.44, 10,767.34 and 4,399.18

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Solution

The fourth proportional to 7,802.44, 10,767.34 and 4,399.18 is: 6,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.44 : 10,767.34 = 4,399.18 : x
  2. Step 2: Convert to fraction form
    7,802.44/10,767.34 = 4,399.18/x
  3. Step 3: Cross multiply
    7,802.44x = 10,767.34 × 4,399.18
  4. Step 4: Simplify right side
    7,802.44x = 47,367,466.78
  5. Step 5: Solve for x
    x = 47,367,466.78/7,802.44
  6. Step 6: Final answer
    x = 6,070.85

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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.