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Finding the Fourth Proportional to 10,095.44, 15,143.67 and 3,074.90

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Solution

The fourth proportional to 10,095.44, 15,143.67 and 3,074.90 is: 4,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.44 : 15,143.67 = 3,074.90 : x
  2. Step 2: Convert to fraction form
    10,095.44/15,143.67 = 3,074.90/x
  3. Step 3: Cross multiply
    10,095.44x = 15,143.67 × 3,074.90
  4. Step 4: Simplify right side
    10,095.44x = 46,565,195.16
  5. Step 5: Solve for x
    x = 46,565,195.16/10,095.44
  6. Step 6: Final answer
    x = 4,612.50

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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.