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Finding the Fourth Proportional to 11,681.64, 17,530.35 and 5,104.02

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Solution

The fourth proportional to 11,681.64, 17,530.35 and 5,104.02 is: 7,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.64 : 17,530.35 = 5,104.02 : x
  2. Step 2: Convert to fraction form
    11,681.64/17,530.35 = 5,104.02/x
  3. Step 3: Cross multiply
    11,681.64x = 17,530.35 × 5,104.02
  4. Step 4: Simplify right side
    11,681.64x = 89,475,257.01
  5. Step 5: Solve for x
    x = 89,475,257.01/11,681.64
  6. Step 6: Final answer
    x = 7,659.48

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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.