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Finding the Fourth Proportional to 7,749.64, 10,695.57 and 4,393.78

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Solution

The fourth proportional to 7,749.64, 10,695.57 and 4,393.78 is: 6,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.64 : 10,695.57 = 4,393.78 : x
  2. Step 2: Convert to fraction form
    7,749.64/10,695.57 = 4,393.78/x
  3. Step 3: Cross multiply
    7,749.64x = 10,695.57 × 4,393.78
  4. Step 4: Simplify right side
    7,749.64x = 46,993,981.55
  5. Step 5: Solve for x
    x = 46,993,981.55/7,749.64
  6. Step 6: Final answer
    x = 6,064.02

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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.