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Finding the Fourth Proportional to 10,095.82, 15,141.90 and 4,548.12

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Solution

The fourth proportional to 10,095.82, 15,141.90 and 4,548.12 is: 6,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.82 : 15,141.90 = 4,548.12 : x
  2. Step 2: Convert to fraction form
    10,095.82/15,141.90 = 4,548.12/x
  3. Step 3: Cross multiply
    10,095.82x = 15,141.90 × 4,548.12
  4. Step 4: Simplify right side
    10,095.82x = 68,867,178.23
  5. Step 5: Solve for x
    x = 68,867,178.23/10,095.82
  6. Step 6: Final answer
    x = 6,821.36

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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.