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Finding the Fourth Proportional to 11,542.52, 15,928.64 and 6,237.32

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Solution

The fourth proportional to 11,542.52, 15,928.64 and 6,237.32 is: 8,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.52 : 15,928.64 = 6,237.32 : x
  2. Step 2: Convert to fraction form
    11,542.52/15,928.64 = 6,237.32/x
  3. Step 3: Cross multiply
    11,542.52x = 15,928.64 × 6,237.32
  4. Step 4: Simplify right side
    11,542.52x = 99,352,024.84
  5. Step 5: Solve for x
    x = 99,352,024.84/11,542.52
  6. Step 6: Final answer
    x = 8,607.48

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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.