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Finding the Fourth Proportional to 10,430.56, 15,644.22 and 3,506.68

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Solution

The fourth proportional to 10,430.56, 15,644.22 and 3,506.68 is: 5,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.56 : 15,644.22 = 3,506.68 : x
  2. Step 2: Convert to fraction form
    10,430.56/15,644.22 = 3,506.68/x
  3. Step 3: Cross multiply
    10,430.56x = 15,644.22 × 3,506.68
  4. Step 4: Simplify right side
    10,430.56x = 54,859,273.39
  5. Step 5: Solve for x
    x = 54,859,273.39/10,430.56
  6. Step 6: Final answer
    x = 5,259.48

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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.