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Finding the Fourth Proportional to 10,476.41, 15,712.41 and 3,078.86

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Solution

The fourth proportional to 10,476.41, 15,712.41 and 3,078.86 is: 4,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.41 : 15,712.41 = 3,078.86 : x
  2. Step 2: Convert to fraction form
    10,476.41/15,712.41 = 3,078.86/x
  3. Step 3: Cross multiply
    10,476.41x = 15,712.41 × 3,078.86
  4. Step 4: Simplify right side
    10,476.41x = 48,376,361.48
  5. Step 5: Solve for x
    x = 48,376,361.48/10,476.41
  6. Step 6: Final answer
    x = 4,617.65

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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.