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Finding the Fourth Proportional to 11,618.31, 16,035.80 and 7,145.90

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Solution

The fourth proportional to 11,618.31, 16,035.80 and 7,145.90 is: 9,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.31 : 16,035.80 = 7,145.90 : x
  2. Step 2: Convert to fraction form
    11,618.31/16,035.80 = 7,145.90/x
  3. Step 3: Cross multiply
    11,618.31x = 16,035.80 × 7,145.90
  4. Step 4: Simplify right side
    11,618.31x = 114,590,223.22
  5. Step 5: Solve for x
    x = 114,590,223.22/11,618.31
  6. Step 6: Final answer
    x = 9,862.90

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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.