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Finding the Fourth Proportional to 7,864.34, 10,857.28 and 5,215.34

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Solution

The fourth proportional to 7,864.34, 10,857.28 and 5,215.34 is: 7,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.34 : 10,857.28 = 5,215.34 : x
  2. Step 2: Convert to fraction form
    7,864.34/10,857.28 = 5,215.34/x
  3. Step 3: Cross multiply
    7,864.34x = 10,857.28 × 5,215.34
  4. Step 4: Simplify right side
    7,864.34x = 56,624,406.68
  5. Step 5: Solve for x
    x = 56,624,406.68/7,864.34
  6. Step 6: Final answer
    x = 7,200.15

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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.