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Finding the Fourth Proportional to 10,116.84, 15,174.02 and 4,272.68

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Solution

The fourth proportional to 10,116.84, 15,174.02 and 4,272.68 is: 6,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.84 : 15,174.02 = 4,272.68 : x
  2. Step 2: Convert to fraction form
    10,116.84/15,174.02 = 4,272.68/x
  3. Step 3: Cross multiply
    10,116.84x = 15,174.02 × 4,272.68
  4. Step 4: Simplify right side
    10,116.84x = 64,833,731.77
  5. Step 5: Solve for x
    x = 64,833,731.77/10,116.84
  6. Step 6: Final answer
    x = 6,408.50

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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.