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Finding the Fourth Proportional to 7,810.32, 10,769.91 and 6,383.34

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Solution

The fourth proportional to 7,810.32, 10,769.91 and 6,383.34 is: 8,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.32 : 10,769.91 = 6,383.34 : x
  2. Step 2: Convert to fraction form
    7,810.32/10,769.91 = 6,383.34/x
  3. Step 3: Cross multiply
    7,810.32x = 10,769.91 × 6,383.34
  4. Step 4: Simplify right side
    7,810.32x = 68,747,997.30
  5. Step 5: Solve for x
    x = 68,747,997.30/7,810.32
  6. Step 6: Final answer
    x = 8,802.20

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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.