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Finding the Fourth Proportional to 11,748, 17,626.44 and 7,595.92

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Solution

The fourth proportional to 11,748, 17,626.44 and 7,595.92 is: 11,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 17,626.44 = 7,595.92 : x
  2. Step 2: Convert to fraction form
    11,748/17,626.44 = 7,595.92/x
  3. Step 3: Cross multiply
    11,748x = 17,626.44 × 7,595.92
  4. Step 4: Simplify right side
    11,748x = 133,889,028.12
  5. Step 5: Solve for x
    x = 133,889,028.12/11,748
  6. Step 6: Final answer
    x = 11,396.75

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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.