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Finding the Fourth Proportional to 7,733.64, 10,656.12 and 5,245.32

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Solution

The fourth proportional to 7,733.64, 10,656.12 and 5,245.32 is: 7,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.64 : 10,656.12 = 5,245.32 : x
  2. Step 2: Convert to fraction form
    7,733.64/10,656.12 = 5,245.32/x
  3. Step 3: Cross multiply
    7,733.64x = 10,656.12 × 5,245.32
  4. Step 4: Simplify right side
    7,733.64x = 55,894,759.36
  5. Step 5: Solve for x
    x = 55,894,759.36/7,733.64
  6. Step 6: Final answer
    x = 7,227.48

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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.