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Finding the Fourth Proportional to 7,867.43, 10,857.90 and 4,509.17

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Solution

The fourth proportional to 7,867.43, 10,857.90 and 4,509.17 is: 6,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.43 : 10,857.90 = 4,509.17 : x
  2. Step 2: Convert to fraction form
    7,867.43/10,857.90 = 4,509.17/x
  3. Step 3: Cross multiply
    7,867.43x = 10,857.90 × 4,509.17
  4. Step 4: Simplify right side
    7,867.43x = 48,960,116.94
  5. Step 5: Solve for x
    x = 48,960,116.94/7,867.43
  6. Step 6: Final answer
    x = 6,223.14

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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.