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Finding the Fourth Proportional to 11,507.40, 17,260.92 and 5,659.74

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Solution

The fourth proportional to 11,507.40, 17,260.92 and 5,659.74 is: 8,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.40 : 17,260.92 = 5,659.74 : x
  2. Step 2: Convert to fraction form
    11,507.40/17,260.92 = 5,659.74/x
  3. Step 3: Cross multiply
    11,507.40x = 17,260.92 × 5,659.74
  4. Step 4: Simplify right side
    11,507.40x = 97,692,319.36
  5. Step 5: Solve for x
    x = 97,692,319.36/11,507.40
  6. Step 6: Final answer
    x = 8,489.52

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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.