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Finding the Fourth Proportional to 11,858.88, 16,360.56 and 7,142.52

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Solution

The fourth proportional to 11,858.88, 16,360.56 and 7,142.52 is: 9,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.88 : 16,360.56 = 7,142.52 : x
  2. Step 2: Convert to fraction form
    11,858.88/16,360.56 = 7,142.52/x
  3. Step 3: Cross multiply
    11,858.88x = 16,360.56 × 7,142.52
  4. Step 4: Simplify right side
    11,858.88x = 116,855,627.01
  5. Step 5: Solve for x
    x = 116,855,627.01/11,858.88
  6. Step 6: Final answer
    x = 9,853.85

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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.