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Finding the Fourth Proportional to 7,732.13, 10,665.59 and 6,832.99

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Solution

The fourth proportional to 7,732.13, 10,665.59 and 6,832.99 is: 9,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.13 : 10,665.59 = 6,832.99 : x
  2. Step 2: Convert to fraction form
    7,732.13/10,665.59 = 6,832.99/x
  3. Step 3: Cross multiply
    7,732.13x = 10,665.59 × 6,832.99
  4. Step 4: Simplify right side
    7,732.13x = 72,877,869.81
  5. Step 5: Solve for x
    x = 72,877,869.81/7,732.13
  6. Step 6: Final answer
    x = 9,425.33

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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.