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Finding the Fourth Proportional to 11,597.31, 17,390.57 and 4,201.47

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Solution

The fourth proportional to 11,597.31, 17,390.57 and 4,201.47 is: 6,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.31 : 17,390.57 = 4,201.47 : x
  2. Step 2: Convert to fraction form
    11,597.31/17,390.57 = 4,201.47/x
  3. Step 3: Cross multiply
    11,597.31x = 17,390.57 × 4,201.47
  4. Step 4: Simplify right side
    11,597.31x = 73,065,937.13
  5. Step 5: Solve for x
    x = 73,065,937.13/11,597.31
  6. Step 6: Final answer
    x = 6,300.25

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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.