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Finding the Fourth Proportional to 10,721.81, 14,803.32 and 6,694.77

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Solution

The fourth proportional to 10,721.81, 14,803.32 and 6,694.77 is: 9,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.81 : 14,803.32 = 6,694.77 : x
  2. Step 2: Convert to fraction form
    10,721.81/14,803.32 = 6,694.77/x
  3. Step 3: Cross multiply
    10,721.81x = 14,803.32 × 6,694.77
  4. Step 4: Simplify right side
    10,721.81x = 99,104,822.64
  5. Step 5: Solve for x
    x = 99,104,822.64/10,721.81
  6. Step 6: Final answer
    x = 9,243.30

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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.