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Finding the Fourth Proportional to 10,707.29, 14,776.56 and 5,927.21

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Solution

The fourth proportional to 10,707.29, 14,776.56 and 5,927.21 is: 8,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.29 : 14,776.56 = 5,927.21 : x
  2. Step 2: Convert to fraction form
    10,707.29/14,776.56 = 5,927.21/x
  3. Step 3: Cross multiply
    10,707.29x = 14,776.56 × 5,927.21
  4. Step 4: Simplify right side
    10,707.29x = 87,583,700.31
  5. Step 5: Solve for x
    x = 87,583,700.31/10,707.29
  6. Step 6: Final answer
    x = 8,179.82

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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.