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Finding the Fourth Proportional to 10,724.61, 16,093.04 and 8,378.02

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Solution

The fourth proportional to 10,724.61, 16,093.04 and 8,378.02 is: 12,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.61 : 16,093.04 = 8,378.02 : x
  2. Step 2: Convert to fraction form
    10,724.61/16,093.04 = 8,378.02/x
  3. Step 3: Cross multiply
    10,724.61x = 16,093.04 × 8,378.02
  4. Step 4: Simplify right side
    10,724.61x = 134,827,688.63
  5. Step 5: Solve for x
    x = 134,827,688.63/10,724.61
  6. Step 6: Final answer
    x = 12,571.80

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Why These Related Problems?

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