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Finding the Fourth Proportional to 11,519.57, 15,897.52 and 6,483.24

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Solution

The fourth proportional to 11,519.57, 15,897.52 and 6,483.24 is: 8,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.57 : 15,897.52 = 6,483.24 : x
  2. Step 2: Convert to fraction form
    11,519.57/15,897.52 = 6,483.24/x
  3. Step 3: Cross multiply
    11,519.57x = 15,897.52 × 6,483.24
  4. Step 4: Simplify right side
    11,519.57x = 103,067,409.20
  5. Step 5: Solve for x
    x = 103,067,409.20/11,519.57
  6. Step 6: Final answer
    x = 8,947.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.