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Finding the Fourth Proportional to 10,022.64, 15,035.84 and 3,095.52

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Solution

The fourth proportional to 10,022.64, 15,035.84 and 3,095.52 is: 4,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.64 : 15,035.84 = 3,095.52 : x
  2. Step 2: Convert to fraction form
    10,022.64/15,035.84 = 3,095.52/x
  3. Step 3: Cross multiply
    10,022.64x = 15,035.84 × 3,095.52
  4. Step 4: Simplify right side
    10,022.64x = 46,543,743.44
  5. Step 5: Solve for x
    x = 46,543,743.44/10,022.64
  6. Step 6: Final answer
    x = 4,643.86

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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.