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Finding the Fourth Proportional to 10,535.04, 15,768 and 9,383.04

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Solution

The fourth proportional to 10,535.04, 15,768 and 9,383.04 is: 14,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.04 : 15,768 = 9,383.04 : x
  2. Step 2: Convert to fraction form
    10,535.04/15,768 = 9,383.04/x
  3. Step 3: Cross multiply
    10,535.04x = 15,768 × 9,383.04
  4. Step 4: Simplify right side
    10,535.04x = 147,951,774.72
  5. Step 5: Solve for x
    x = 147,951,774.72/10,535.04
  6. Step 6: Final answer
    x = 14,043.78

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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.