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Finding the Fourth Proportional to 7,837.60, 11,756.32 and 2,643.44

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Solution

The fourth proportional to 7,837.60, 11,756.32 and 2,643.44 is: 3,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.60 : 11,756.32 = 2,643.44 : x
  2. Step 2: Convert to fraction form
    7,837.60/11,756.32 = 2,643.44/x
  3. Step 3: Cross multiply
    7,837.60x = 11,756.32 × 2,643.44
  4. Step 4: Simplify right side
    7,837.60x = 31,077,126.54
  5. Step 5: Solve for x
    x = 31,077,126.54/7,837.60
  6. Step 6: Final answer
    x = 3,965.13

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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.