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Finding the Fourth Proportional to 10,728.42, 14,802.44 and 6,476.12

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Solution

The fourth proportional to 10,728.42, 14,802.44 and 6,476.12 is: 8,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.42 : 14,802.44 = 6,476.12 : x
  2. Step 2: Convert to fraction form
    10,728.42/14,802.44 = 6,476.12/x
  3. Step 3: Cross multiply
    10,728.42x = 14,802.44 × 6,476.12
  4. Step 4: Simplify right side
    10,728.42x = 95,862,377.73
  5. Step 5: Solve for x
    x = 95,862,377.73/10,728.42
  6. Step 6: Final answer
    x = 8,935.37

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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.