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Finding the Fourth Proportional to 10,035.54, 15,042.17 and 5,094.95

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Solution

The fourth proportional to 10,035.54, 15,042.17 and 5,094.95 is: 7,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.54 : 15,042.17 = 5,094.95 : x
  2. Step 2: Convert to fraction form
    10,035.54/15,042.17 = 5,094.95/x
  3. Step 3: Cross multiply
    10,035.54x = 15,042.17 × 5,094.95
  4. Step 4: Simplify right side
    10,035.54x = 76,639,041.57
  5. Step 5: Solve for x
    x = 76,639,041.57/10,035.54
  6. Step 6: Final answer
    x = 7,636.76

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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.