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Finding the Fourth Proportional to 10,724.58, 14,800.32 and 6,008.94

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Solution

The fourth proportional to 10,724.58, 14,800.32 and 6,008.94 is: 8,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.58 : 14,800.32 = 6,008.94 : x
  2. Step 2: Convert to fraction form
    10,724.58/14,800.32 = 6,008.94/x
  3. Step 3: Cross multiply
    10,724.58x = 14,800.32 × 6,008.94
  4. Step 4: Simplify right side
    10,724.58x = 88,934,234.86
  5. Step 5: Solve for x
    x = 88,934,234.86/10,724.58
  6. Step 6: Final answer
    x = 8,292.56

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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.