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Finding the Fourth Proportional to 7,903.75, 11,856.23 and 2,973.28

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Solution

The fourth proportional to 7,903.75, 11,856.23 and 2,973.28 is: 4,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.75 : 11,856.23 = 2,973.28 : x
  2. Step 2: Convert to fraction form
    7,903.75/11,856.23 = 2,973.28/x
  3. Step 3: Cross multiply
    7,903.75x = 11,856.23 × 2,973.28
  4. Step 4: Simplify right side
    7,903.75x = 35,251,891.53
  5. Step 5: Solve for x
    x = 35,251,891.53/7,903.75
  6. Step 6: Final answer
    x = 4,460.15

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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.