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Finding the Fourth Proportional to 10,592.72, 14,616.42 and 6,816.23

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Solution

The fourth proportional to 10,592.72, 14,616.42 and 6,816.23 is: 9,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.72 : 14,616.42 = 6,816.23 : x
  2. Step 2: Convert to fraction form
    10,592.72/14,616.42 = 6,816.23/x
  3. Step 3: Cross multiply
    10,592.72x = 14,616.42 × 6,816.23
  4. Step 4: Simplify right side
    10,592.72x = 99,628,880.50
  5. Step 5: Solve for x
    x = 99,628,880.50/10,592.72
  6. Step 6: Final answer
    x = 9,405.41

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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.