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Finding the Fourth Proportional to 10,570.14, 15,843.27 and 5,015.78

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Solution

The fourth proportional to 10,570.14, 15,843.27 and 5,015.78 is: 7,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.14 : 15,843.27 = 5,015.78 : x
  2. Step 2: Convert to fraction form
    10,570.14/15,843.27 = 5,015.78/x
  3. Step 3: Cross multiply
    10,570.14x = 15,843.27 × 5,015.78
  4. Step 4: Simplify right side
    10,570.14x = 79,466,356.80
  5. Step 5: Solve for x
    x = 79,466,356.80/10,570.14
  6. Step 6: Final answer
    x = 7,518.00

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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.