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Finding the Fourth Proportional to 7,970.68, 11,959.68 and 3,041.44

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Solution

The fourth proportional to 7,970.68, 11,959.68 and 3,041.44 is: 4,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.68 : 11,959.68 = 3,041.44 : x
  2. Step 2: Convert to fraction form
    7,970.68/11,959.68 = 3,041.44/x
  3. Step 3: Cross multiply
    7,970.68x = 11,959.68 × 3,041.44
  4. Step 4: Simplify right side
    7,970.68x = 36,374,649.14
  5. Step 5: Solve for x
    x = 36,374,649.14/7,970.68
  6. Step 6: Final answer
    x = 4,563.56

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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.