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Finding the Fourth Proportional to 7,318.64, 11,032.64 and 6,695.90

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Solution

The fourth proportional to 7,318.64, 11,032.64 and 6,695.90 is: 10,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.64 : 11,032.64 = 6,695.90 : x
  2. Step 2: Convert to fraction form
    7,318.64/11,032.64 = 6,695.90/x
  3. Step 3: Cross multiply
    7,318.64x = 11,032.64 × 6,695.90
  4. Step 4: Simplify right side
    7,318.64x = 73,873,454.18
  5. Step 5: Solve for x
    x = 73,873,454.18/7,318.64
  6. Step 6: Final answer
    x = 10,093.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.