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Finding the Fourth Proportional to 10,014.70, 15,022.05 and 4,821.10

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Solution

The fourth proportional to 10,014.70, 15,022.05 and 4,821.10 is: 7,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.70 : 15,022.05 = 4,821.10 : x
  2. Step 2: Convert to fraction form
    10,014.70/15,022.05 = 4,821.10/x
  3. Step 3: Cross multiply
    10,014.70x = 15,022.05 × 4,821.10
  4. Step 4: Simplify right side
    10,014.70x = 72,422,805.26
  5. Step 5: Solve for x
    x = 72,422,805.26/10,014.70
  6. Step 6: Final answer
    x = 7,231.65

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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.