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Finding the Fourth Proportional to 7,803.34, 10,767.40 and 4,446.29

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Solution

The fourth proportional to 7,803.34, 10,767.40 and 4,446.29 is: 6,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.34 : 10,767.40 = 4,446.29 : x
  2. Step 2: Convert to fraction form
    7,803.34/10,767.40 = 4,446.29/x
  3. Step 3: Cross multiply
    7,803.34x = 10,767.40 × 4,446.29
  4. Step 4: Simplify right side
    7,803.34x = 47,874,998.75
  5. Step 5: Solve for x
    x = 47,874,998.75/7,803.34
  6. Step 6: Final answer
    x = 6,135.20

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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.