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Finding the Fourth Proportional to 10,783.91, 14,882.97 and 6,309.17

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Solution

The fourth proportional to 10,783.91, 14,882.97 and 6,309.17 is: 8,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.91 : 14,882.97 = 6,309.17 : x
  2. Step 2: Convert to fraction form
    10,783.91/14,882.97 = 6,309.17/x
  3. Step 3: Cross multiply
    10,783.91x = 14,882.97 × 6,309.17
  4. Step 4: Simplify right side
    10,783.91x = 93,899,113.42
  5. Step 5: Solve for x
    x = 93,899,113.42/10,783.91
  6. Step 6: Final answer
    x = 8,707.34

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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.