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Finding the Fourth Proportional to 10,473.82, 15,713.43 and 3,078.52

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Solution

The fourth proportional to 10,473.82, 15,713.43 and 3,078.52 is: 4,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.82 : 15,713.43 = 3,078.52 : x
  2. Step 2: Convert to fraction form
    10,473.82/15,713.43 = 3,078.52/x
  3. Step 3: Cross multiply
    10,473.82x = 15,713.43 × 3,078.52
  4. Step 4: Simplify right side
    10,473.82x = 48,374,108.52
  5. Step 5: Solve for x
    x = 48,374,108.52/10,473.82
  6. Step 6: Final answer
    x = 4,618.57

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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.