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Finding the Fourth Proportional to 10,723.64, 14,797.64 and 6,007.02

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Solution

The fourth proportional to 10,723.64, 14,797.64 and 6,007.02 is: 8,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.64 : 14,797.64 = 6,007.02 : x
  2. Step 2: Convert to fraction form
    10,723.64/14,797.64 = 6,007.02/x
  3. Step 3: Cross multiply
    10,723.64x = 14,797.64 × 6,007.02
  4. Step 4: Simplify right side
    10,723.64x = 88,889,719.43
  5. Step 5: Solve for x
    x = 88,889,719.43/10,723.64
  6. Step 6: Final answer
    x = 8,289.14

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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.