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Finding the Fourth Proportional to 10,635.99, 14,678.19 and 5,920.17

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Solution

The fourth proportional to 10,635.99, 14,678.19 and 5,920.17 is: 8,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.99 : 14,678.19 = 5,920.17 : x
  2. Step 2: Convert to fraction form
    10,635.99/14,678.19 = 5,920.17/x
  3. Step 3: Cross multiply
    10,635.99x = 14,678.19 × 5,920.17
  4. Step 4: Simplify right side
    10,635.99x = 86,897,380.09
  5. Step 5: Solve for x
    x = 86,897,380.09/10,635.99
  6. Step 6: Final answer
    x = 8,170.13

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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.