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Finding the Fourth Proportional to 10,834.48, 16,237.14 and 7,899.04

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Solution

The fourth proportional to 10,834.48, 16,237.14 and 7,899.04 is: 11,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.48 : 16,237.14 = 7,899.04 : x
  2. Step 2: Convert to fraction form
    10,834.48/16,237.14 = 7,899.04/x
  3. Step 3: Cross multiply
    10,834.48x = 16,237.14 × 7,899.04
  4. Step 4: Simplify right side
    10,834.48x = 128,257,818.35
  5. Step 5: Solve for x
    x = 128,257,818.35/10,834.48
  6. Step 6: Final answer
    x = 11,837.93

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