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Finding the Fourth Proportional to 10,525.92, 15,795 and 4,284.96

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Solution

The fourth proportional to 10,525.92, 15,795 and 4,284.96 is: 6,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.92 : 15,795 = 4,284.96 : x
  2. Step 2: Convert to fraction form
    10,525.92/15,795 = 4,284.96/x
  3. Step 3: Cross multiply
    10,525.92x = 15,795 × 4,284.96
  4. Step 4: Simplify right side
    10,525.92x = 67,680,943.20
  5. Step 5: Solve for x
    x = 67,680,943.20/10,525.92
  6. Step 6: Final answer
    x = 6,429.93

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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.