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Finding the Fourth Proportional to 10,681.56, 16,017.04 and 3,659.60

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Solution

The fourth proportional to 10,681.56, 16,017.04 and 3,659.60 is: 5,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.56 : 16,017.04 = 3,659.60 : x
  2. Step 2: Convert to fraction form
    10,681.56/16,017.04 = 3,659.60/x
  3. Step 3: Cross multiply
    10,681.56x = 16,017.04 × 3,659.60
  4. Step 4: Simplify right side
    10,681.56x = 58,615,959.58
  5. Step 5: Solve for x
    x = 58,615,959.58/10,681.56
  6. Step 6: Final answer
    x = 5,487.58

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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.