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Finding the Fourth Proportional to 7,447.92, 11,171.58 and 1,901.40

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Solution

The fourth proportional to 7,447.92, 11,171.58 and 1,901.40 is: 2,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.92 : 11,171.58 = 1,901.40 : x
  2. Step 2: Convert to fraction form
    7,447.92/11,171.58 = 1,901.40/x
  3. Step 3: Cross multiply
    7,447.92x = 11,171.58 × 1,901.40
  4. Step 4: Simplify right side
    7,447.92x = 21,241,642.21
  5. Step 5: Solve for x
    x = 21,241,642.21/7,447.92
  6. Step 6: Final answer
    x = 2,852.02

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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.