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Finding the Fourth Proportional to 7,723.53, 10,655.95 and 4,366.02

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Solution

The fourth proportional to 7,723.53, 10,655.95 and 4,366.02 is: 6,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.53 : 10,655.95 = 4,366.02 : x
  2. Step 2: Convert to fraction form
    7,723.53/10,655.95 = 4,366.02/x
  3. Step 3: Cross multiply
    7,723.53x = 10,655.95 × 4,366.02
  4. Step 4: Simplify right side
    7,723.53x = 46,524,090.82
  5. Step 5: Solve for x
    x = 46,524,090.82/7,723.53
  6. Step 6: Final answer
    x = 6,023.68

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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.