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Finding the Fourth Proportional to 10,653.56, 15,983.04 and 3,257.72

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Solution

The fourth proportional to 10,653.56, 15,983.04 and 3,257.72 is: 4,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.56 : 15,983.04 = 3,257.72 : x
  2. Step 2: Convert to fraction form
    10,653.56/15,983.04 = 3,257.72/x
  3. Step 3: Cross multiply
    10,653.56x = 15,983.04 × 3,257.72
  4. Step 4: Simplify right side
    10,653.56x = 52,068,269.07
  5. Step 5: Solve for x
    x = 52,068,269.07/10,653.56
  6. Step 6: Final answer
    x = 4,887.41

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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.