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Finding the Fourth Proportional to 7,643.60, 11,491.32 and 6,103.28

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Solution

The fourth proportional to 7,643.60, 11,491.32 and 6,103.28 is: 9,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.60 : 11,491.32 = 6,103.28 : x
  2. Step 2: Convert to fraction form
    7,643.60/11,491.32 = 6,103.28/x
  3. Step 3: Cross multiply
    7,643.60x = 11,491.32 × 6,103.28
  4. Step 4: Simplify right side
    7,643.60x = 70,134,743.53
  5. Step 5: Solve for x
    x = 70,134,743.53/7,643.60
  6. Step 6: Final answer
    x = 9,175.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.