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Finding the Fourth Proportional to 11,201.63, 15,458.43 and 6,422.00

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Solution

The fourth proportional to 11,201.63, 15,458.43 and 6,422.00 is: 8,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.63 : 15,458.43 = 6,422.00 : x
  2. Step 2: Convert to fraction form
    11,201.63/15,458.43 = 6,422.00/x
  3. Step 3: Cross multiply
    11,201.63x = 15,458.43 × 6,422.00
  4. Step 4: Simplify right side
    11,201.63x = 99,273,960.17
  5. Step 5: Solve for x
    x = 99,273,960.17/11,201.63
  6. Step 6: Final answer
    x = 8,862.45

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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.