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Finding the Fourth Proportional to 7,723.53, 10,660.02 and 4,366.47

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Solution

The fourth proportional to 7,723.53, 10,660.02 and 4,366.47 is: 6,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.53 : 10,660.02 = 4,366.47 : x
  2. Step 2: Convert to fraction form
    7,723.53/10,660.02 = 4,366.47/x
  3. Step 3: Cross multiply
    7,723.53x = 10,660.02 × 4,366.47
  4. Step 4: Simplify right side
    7,723.53x = 46,546,657.53
  5. Step 5: Solve for x
    x = 46,546,657.53/7,723.53
  6. Step 6: Final answer
    x = 6,026.60

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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.