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Finding the Fourth Proportional to 10,401.64, 15,586.02 and 8,444.27

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Solution

The fourth proportional to 10,401.64, 15,586.02 and 8,444.27 is: 12,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.64 : 15,586.02 = 8,444.27 : x
  2. Step 2: Convert to fraction form
    10,401.64/15,586.02 = 8,444.27/x
  3. Step 3: Cross multiply
    10,401.64x = 15,586.02 × 8,444.27
  4. Step 4: Simplify right side
    10,401.64x = 131,612,600.07
  5. Step 5: Solve for x
    x = 131,612,600.07/10,401.64
  6. Step 6: Final answer
    x = 12,653.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.