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Finding the Fourth Proportional to 10,468.80, 14,446.94 and 5,753.08

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Solution

The fourth proportional to 10,468.80, 14,446.94 and 5,753.08 is: 7,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.80 : 14,446.94 = 5,753.08 : x
  2. Step 2: Convert to fraction form
    10,468.80/14,446.94 = 5,753.08/x
  3. Step 3: Cross multiply
    10,468.80x = 14,446.94 × 5,753.08
  4. Step 4: Simplify right side
    10,468.80x = 83,114,401.58
  5. Step 5: Solve for x
    x = 83,114,401.58/10,468.80
  6. Step 6: Final answer
    x = 7,939.25

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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.