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Finding the Fourth Proportional to 7,976.40, 11,008.30 and 4,619.16

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Solution

The fourth proportional to 7,976.40, 11,008.30 and 4,619.16 is: 6,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.40 : 11,008.30 = 4,619.16 : x
  2. Step 2: Convert to fraction form
    7,976.40/11,008.30 = 4,619.16/x
  3. Step 3: Cross multiply
    7,976.40x = 11,008.30 × 4,619.16
  4. Step 4: Simplify right side
    7,976.40x = 50,849,099.03
  5. Step 5: Solve for x
    x = 50,849,099.03/7,976.40
  6. Step 6: Final answer
    x = 6,374.94

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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.