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Finding the Fourth Proportional to 10,506.28, 15,754.02 and 3,109.80

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Solution

The fourth proportional to 10,506.28, 15,754.02 and 3,109.80 is: 4,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.28 : 15,754.02 = 3,109.80 : x
  2. Step 2: Convert to fraction form
    10,506.28/15,754.02 = 3,109.80/x
  3. Step 3: Cross multiply
    10,506.28x = 15,754.02 × 3,109.80
  4. Step 4: Simplify right side
    10,506.28x = 48,991,851.40
  5. Step 5: Solve for x
    x = 48,991,851.40/10,506.28
  6. Step 6: Final answer
    x = 4,663.10

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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.