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Finding the Fourth Proportional to 10,742.94, 16,098.82 and 7,629.04

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Solution

The fourth proportional to 10,742.94, 16,098.82 and 7,629.04 is: 11,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.94 : 16,098.82 = 7,629.04 : x
  2. Step 2: Convert to fraction form
    10,742.94/16,098.82 = 7,629.04/x
  3. Step 3: Cross multiply
    10,742.94x = 16,098.82 × 7,629.04
  4. Step 4: Simplify right side
    10,742.94x = 122,818,541.73
  5. Step 5: Solve for x
    x = 122,818,541.73/10,742.94
  6. Step 6: Final answer
    x = 11,432.49

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Why These Related Problems?

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