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Finding the Fourth Proportional to 10,187.82, 15,282.02 and 4,638.30

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Solution

The fourth proportional to 10,187.82, 15,282.02 and 4,638.30 is: 6,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.82 : 15,282.02 = 4,638.30 : x
  2. Step 2: Convert to fraction form
    10,187.82/15,282.02 = 4,638.30/x
  3. Step 3: Cross multiply
    10,187.82x = 15,282.02 × 4,638.30
  4. Step 4: Simplify right side
    10,187.82x = 70,882,593.37
  5. Step 5: Solve for x
    x = 70,882,593.37/10,187.82
  6. Step 6: Final answer
    x = 6,957.58

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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.