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Finding the Fourth Proportional to 11,417.86, 17,127.09 and 4,020.63

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Solution

The fourth proportional to 11,417.86, 17,127.09 and 4,020.63 is: 6,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.86 : 17,127.09 = 4,020.63 : x
  2. Step 2: Convert to fraction form
    11,417.86/17,127.09 = 4,020.63/x
  3. Step 3: Cross multiply
    11,417.86x = 17,127.09 × 4,020.63
  4. Step 4: Simplify right side
    11,417.86x = 68,861,671.76
  5. Step 5: Solve for x
    x = 68,861,671.76/11,417.86
  6. Step 6: Final answer
    x = 6,031.05

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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.