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Finding the Fourth Proportional to 10,473.12, 15,710.31 and 3,076.92

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Solution

The fourth proportional to 10,473.12, 15,710.31 and 3,076.92 is: 4,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.12 : 15,710.31 = 3,076.92 : x
  2. Step 2: Convert to fraction form
    10,473.12/15,710.31 = 3,076.92/x
  3. Step 3: Cross multiply
    10,473.12x = 15,710.31 × 3,076.92
  4. Step 4: Simplify right side
    10,473.12x = 48,339,367.05
  5. Step 5: Solve for x
    x = 48,339,367.05/10,473.12
  6. Step 6: Final answer
    x = 4,615.57

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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.