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Finding the Fourth Proportional to 10,834.84, 14,944.08 and 7,478.68

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Solution

The fourth proportional to 10,834.84, 14,944.08 and 7,478.68 is: 10,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.84 : 14,944.08 = 7,478.68 : x
  2. Step 2: Convert to fraction form
    10,834.84/14,944.08 = 7,478.68/x
  3. Step 3: Cross multiply
    10,834.84x = 14,944.08 × 7,478.68
  4. Step 4: Simplify right side
    10,834.84x = 111,761,992.21
  5. Step 5: Solve for x
    x = 111,761,992.21/10,834.84
  6. Step 6: Final answer
    x = 10,315.06

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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.