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Finding the Fourth Proportional to 10,529.42, 15,794.07 and 4,287.96

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Solution

The fourth proportional to 10,529.42, 15,794.07 and 4,287.96 is: 6,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.42 : 15,794.07 = 4,287.96 : x
  2. Step 2: Convert to fraction form
    10,529.42/15,794.07 = 4,287.96/x
  3. Step 3: Cross multiply
    10,529.42x = 15,794.07 × 4,287.96
  4. Step 4: Simplify right side
    10,529.42x = 67,724,340.40
  5. Step 5: Solve for x
    x = 67,724,340.40/10,529.42
  6. Step 6: Final answer
    x = 6,431.92

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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.