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Finding the Fourth Proportional to 7,774.32, 10,733.40 and 4,943.28

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Solution

The fourth proportional to 7,774.32, 10,733.40 and 4,943.28 is: 6,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.32 : 10,733.40 = 4,943.28 : x
  2. Step 2: Convert to fraction form
    7,774.32/10,733.40 = 4,943.28/x
  3. Step 3: Cross multiply
    7,774.32x = 10,733.40 × 4,943.28
  4. Step 4: Simplify right side
    7,774.32x = 53,058,201.55
  5. Step 5: Solve for x
    x = 53,058,201.55/7,774.32
  6. Step 6: Final answer
    x = 6,824.80

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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.