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Finding the Fourth Proportional to 10,681.54, 14,737.30 and 6,204.42

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Solution

The fourth proportional to 10,681.54, 14,737.30 and 6,204.42 is: 8,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.54 : 14,737.30 = 6,204.42 : x
  2. Step 2: Convert to fraction form
    10,681.54/14,737.30 = 6,204.42/x
  3. Step 3: Cross multiply
    10,681.54x = 14,737.30 × 6,204.42
  4. Step 4: Simplify right side
    10,681.54x = 91,436,398.87
  5. Step 5: Solve for x
    x = 91,436,398.87/10,681.54
  6. Step 6: Final answer
    x = 8,560.23

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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.