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Finding the Fourth Proportional to 12,635.52, 18,955.68 and 5,710

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Solution

The fourth proportional to 12,635.52, 18,955.68 and 5,710 is: 8,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.52 : 18,955.68 = 5,710 : x
  2. Step 2: Convert to fraction form
    12,635.52/18,955.68 = 5,710/x
  3. Step 3: Cross multiply
    12,635.52x = 18,955.68 × 5,710
  4. Step 4: Simplify right side
    12,635.52x = 108,236,932.80
  5. Step 5: Solve for x
    x = 108,236,932.80/12,635.52
  6. Step 6: Final answer
    x = 8,566.08

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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.