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Finding the Fourth Proportional to 10,724.13, 14,798.97 and 6,008.67

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Solution

The fourth proportional to 10,724.13, 14,798.97 and 6,008.67 is: 8,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.13 : 14,798.97 = 6,008.67 : x
  2. Step 2: Convert to fraction form
    10,724.13/14,798.97 = 6,008.67/x
  3. Step 3: Cross multiply
    10,724.13x = 14,798.97 × 6,008.67
  4. Step 4: Simplify right side
    10,724.13x = 88,922,127.07
  5. Step 5: Solve for x
    x = 88,922,127.07/10,724.13
  6. Step 6: Final answer
    x = 8,291.78

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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.