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Finding the Fourth Proportional to 10,959.96, 16,437.96 and 3,563.40

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Solution

The fourth proportional to 10,959.96, 16,437.96 and 3,563.40 is: 5,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.96 : 16,437.96 = 3,563.40 : x
  2. Step 2: Convert to fraction form
    10,959.96/16,437.96 = 3,563.40/x
  3. Step 3: Cross multiply
    10,959.96x = 16,437.96 × 3,563.40
  4. Step 4: Simplify right side
    10,959.96x = 58,575,026.66
  5. Step 5: Solve for x
    x = 58,575,026.66/10,959.96
  6. Step 6: Final answer
    x = 5,344.46

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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.