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Finding the Fourth Proportional to 10,158, 15,238.92 and 4,686

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Solution

The fourth proportional to 10,158, 15,238.92 and 4,686 is: 7,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 15,238.92 = 4,686 : x
  2. Step 2: Convert to fraction form
    10,158/15,238.92 = 4,686/x
  3. Step 3: Cross multiply
    10,158x = 15,238.92 × 4,686
  4. Step 4: Simplify right side
    10,158x = 71,409,579.12
  5. Step 5: Solve for x
    x = 71,409,579.12/10,158
  6. Step 6: Final answer
    x = 7,029.89

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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.