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Finding the Fourth Proportional to 11,858.18, 16,364.16 and 7,141.55

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Solution

The fourth proportional to 11,858.18, 16,364.16 and 7,141.55 is: 9,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.18 : 16,364.16 = 7,141.55 : x
  2. Step 2: Convert to fraction form
    11,858.18/16,364.16 = 7,141.55/x
  3. Step 3: Cross multiply
    11,858.18x = 16,364.16 × 7,141.55
  4. Step 4: Simplify right side
    11,858.18x = 116,865,385.03
  5. Step 5: Solve for x
    x = 116,865,385.03/11,858.18
  6. Step 6: Final answer
    x = 9,855.26

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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.