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Finding the Fourth Proportional to 10,523.92, 14,523.88 and 5,809.12

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Solution

The fourth proportional to 10,523.92, 14,523.88 and 5,809.12 is: 8,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.92 : 14,523.88 = 5,809.12 : x
  2. Step 2: Convert to fraction form
    10,523.92/14,523.88 = 5,809.12/x
  3. Step 3: Cross multiply
    10,523.92x = 14,523.88 × 5,809.12
  4. Step 4: Simplify right side
    10,523.92x = 84,370,961.79
  5. Step 5: Solve for x
    x = 84,370,961.79/10,523.92
  6. Step 6: Final answer
    x = 8,017.07

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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.