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Finding the Fourth Proportional to 11,618.94, 16,025.95 and 7,145.14

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Solution

The fourth proportional to 11,618.94, 16,025.95 and 7,145.14 is: 9,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.94 : 16,025.95 = 7,145.14 : x
  2. Step 2: Convert to fraction form
    11,618.94/16,025.95 = 7,145.14/x
  3. Step 3: Cross multiply
    11,618.94x = 16,025.95 × 7,145.14
  4. Step 4: Simplify right side
    11,618.94x = 114,507,656.38
  5. Step 5: Solve for x
    x = 114,507,656.38/11,618.94
  6. Step 6: Final answer
    x = 9,855.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.