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Finding the Fourth Proportional to 11,405.88, 15,740.28 and 6,690.24

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Solution

The fourth proportional to 11,405.88, 15,740.28 and 6,690.24 is: 9,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.88 : 15,740.28 = 6,690.24 : x
  2. Step 2: Convert to fraction form
    11,405.88/15,740.28 = 6,690.24/x
  3. Step 3: Cross multiply
    11,405.88x = 15,740.28 × 6,690.24
  4. Step 4: Simplify right side
    11,405.88x = 105,306,250.87
  5. Step 5: Solve for x
    x = 105,306,250.87/11,405.88
  6. Step 6: Final answer
    x = 9,232.63

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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.