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Finding the Fourth Proportional to 10,810.34, 16,215.52 and 2,602.34

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Solution

The fourth proportional to 10,810.34, 16,215.52 and 2,602.34 is: 3,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.34 : 16,215.52 = 2,602.34 : x
  2. Step 2: Convert to fraction form
    10,810.34/16,215.52 = 2,602.34/x
  3. Step 3: Cross multiply
    10,810.34x = 16,215.52 × 2,602.34
  4. Step 4: Simplify right side
    10,810.34x = 42,198,296.32
  5. Step 5: Solve for x
    x = 42,198,296.32/10,810.34
  6. Step 6: Final answer
    x = 3,903.51

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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.