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Finding the Fourth Proportional to 11,201.88, 15,458.47 and 6,165.99

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Solution

The fourth proportional to 11,201.88, 15,458.47 and 6,165.99 is: 8,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.88 : 15,458.47 = 6,165.99 : x
  2. Step 2: Convert to fraction form
    11,201.88/15,458.47 = 6,165.99/x
  3. Step 3: Cross multiply
    11,201.88x = 15,458.47 × 6,165.99
  4. Step 4: Simplify right side
    11,201.88x = 95,316,786.85
  5. Step 5: Solve for x
    x = 95,316,786.85/11,201.88
  6. Step 6: Final answer
    x = 8,509.00

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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.