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Finding the Fourth Proportional to 7,007.52, 9,670.68 and 3,863.64

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Solution

The fourth proportional to 7,007.52, 9,670.68 and 3,863.64 is: 5,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.52 : 9,670.68 = 3,863.64 : x
  2. Step 2: Convert to fraction form
    7,007.52/9,670.68 = 3,863.64/x
  3. Step 3: Cross multiply
    7,007.52x = 9,670.68 × 3,863.64
  4. Step 4: Simplify right side
    7,007.52x = 37,364,026.08
  5. Step 5: Solve for x
    x = 37,364,026.08/7,007.52
  6. Step 6: Final answer
    x = 5,331.99

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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.