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Finding the Fourth Proportional to 10,633.64, 15,951.54 and 4,065.35

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Solution

The fourth proportional to 10,633.64, 15,951.54 and 4,065.35 is: 6,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.64 : 15,951.54 = 4,065.35 : x
  2. Step 2: Convert to fraction form
    10,633.64/15,951.54 = 4,065.35/x
  3. Step 3: Cross multiply
    10,633.64x = 15,951.54 × 4,065.35
  4. Step 4: Simplify right side
    10,633.64x = 64,848,593.14
  5. Step 5: Solve for x
    x = 64,848,593.14/10,633.64
  6. Step 6: Final answer
    x = 6,098.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.