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Finding the Fourth Proportional to 11,602.85, 16,020.25 and 7,132.59

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Solution

The fourth proportional to 11,602.85, 16,020.25 and 7,132.59 is: 9,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.85 : 16,020.25 = 7,132.59 : x
  2. Step 2: Convert to fraction form
    11,602.85/16,020.25 = 7,132.59/x
  3. Step 3: Cross multiply
    11,602.85x = 16,020.25 × 7,132.59
  4. Step 4: Simplify right side
    11,602.85x = 114,265,857.12
  5. Step 5: Solve for x
    x = 114,265,857.12/11,602.85
  6. Step 6: Final answer
    x = 9,848.09

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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.