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Finding the Fourth Proportional to 11,618.94, 17,428.50 and 2,853.93

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Solution

The fourth proportional to 11,618.94, 17,428.50 and 2,853.93 is: 4,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.94 : 17,428.50 = 2,853.93 : x
  2. Step 2: Convert to fraction form
    11,618.94/17,428.50 = 2,853.93/x
  3. Step 3: Cross multiply
    11,618.94x = 17,428.50 × 2,853.93
  4. Step 4: Simplify right side
    11,618.94x = 49,739,719.01
  5. Step 5: Solve for x
    x = 49,739,719.01/11,618.94
  6. Step 6: Final answer
    x = 4,280.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.