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Finding the Fourth Proportional to 10,615.86, 15,921.54 and 4,042.62

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Solution

The fourth proportional to 10,615.86, 15,921.54 and 4,042.62 is: 6,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.86 : 15,921.54 = 4,042.62 : x
  2. Step 2: Convert to fraction form
    10,615.86/15,921.54 = 4,042.62/x
  3. Step 3: Cross multiply
    10,615.86x = 15,921.54 × 4,042.62
  4. Step 4: Simplify right side
    10,615.86x = 64,364,736.03
  5. Step 5: Solve for x
    x = 64,364,736.03/10,615.86
  6. Step 6: Final answer
    x = 6,063.07

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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.