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Finding the Fourth Proportional to 11,690.12, 17,507.24 and 6,417.02

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Solution

The fourth proportional to 11,690.12, 17,507.24 and 6,417.02 is: 9,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.12 : 17,507.24 = 6,417.02 : x
  2. Step 2: Convert to fraction form
    11,690.12/17,507.24 = 6,417.02/x
  3. Step 3: Cross multiply
    11,690.12x = 17,507.24 × 6,417.02
  4. Step 4: Simplify right side
    11,690.12x = 112,344,309.22
  5. Step 5: Solve for x
    x = 112,344,309.22/11,690.12
  6. Step 6: Final answer
    x = 9,610.19

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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.