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Finding the Fourth Proportional to 11,903.95, 17,837.14 and 4,397.19

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Solution

The fourth proportional to 11,903.95, 17,837.14 and 4,397.19 is: 6,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.95 : 17,837.14 = 4,397.19 : x
  2. Step 2: Convert to fraction form
    11,903.95/17,837.14 = 4,397.19/x
  3. Step 3: Cross multiply
    11,903.95x = 17,837.14 × 4,397.19
  4. Step 4: Simplify right side
    11,903.95x = 78,433,293.64
  5. Step 5: Solve for x
    x = 78,433,293.64/11,903.95
  6. Step 6: Final answer
    x = 6,588.85

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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.