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Finding the Fourth Proportional to 10,615.56, 15,923.28 and 3,690

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Solution

The fourth proportional to 10,615.56, 15,923.28 and 3,690 is: 5,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.56 : 15,923.28 = 3,690 : x
  2. Step 2: Convert to fraction form
    10,615.56/15,923.28 = 3,690/x
  3. Step 3: Cross multiply
    10,615.56x = 15,923.28 × 3,690
  4. Step 4: Simplify right side
    10,615.56x = 58,756,903.20
  5. Step 5: Solve for x
    x = 58,756,903.20/10,615.56
  6. Step 6: Final answer
    x = 5,534.98

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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.