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Finding the Fourth Proportional to 11,599.86, 17,384.28 and 6,041.54

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Solution

The fourth proportional to 11,599.86, 17,384.28 and 6,041.54 is: 9,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.86 : 17,384.28 = 6,041.54 : x
  2. Step 2: Convert to fraction form
    11,599.86/17,384.28 = 6,041.54/x
  3. Step 3: Cross multiply
    11,599.86x = 17,384.28 × 6,041.54
  4. Step 4: Simplify right side
    11,599.86x = 105,027,736.07
  5. Step 5: Solve for x
    x = 105,027,736.07/11,599.86
  6. Step 6: Final answer
    x = 9,054.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.