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Finding the Fourth Proportional to 11,585.88, 15,992.34 and 7,344

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Solution

The fourth proportional to 11,585.88, 15,992.34 and 7,344 is: 10,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.88 : 15,992.34 = 7,344 : x
  2. Step 2: Convert to fraction form
    11,585.88/15,992.34 = 7,344/x
  3. Step 3: Cross multiply
    11,585.88x = 15,992.34 × 7,344
  4. Step 4: Simplify right side
    11,585.88x = 117,447,744.96
  5. Step 5: Solve for x
    x = 117,447,744.96/11,585.88
  6. Step 6: Final answer
    x = 10,137.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.