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Finding the Fourth Proportional to 10,054.16, 15,086.23 and 4,511.42

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Solution

The fourth proportional to 10,054.16, 15,086.23 and 4,511.42 is: 6,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.16 : 15,086.23 = 4,511.42 : x
  2. Step 2: Convert to fraction form
    10,054.16/15,086.23 = 4,511.42/x
  3. Step 3: Cross multiply
    10,054.16x = 15,086.23 × 4,511.42
  4. Step 4: Simplify right side
    10,054.16x = 68,060,233.04
  5. Step 5: Solve for x
    x = 68,060,233.04/10,054.16
  6. Step 6: Final answer
    x = 6,769.36

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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.