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Finding the Fourth Proportional to 7,976.64, 11,012.80 and 5,145.04

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Solution

The fourth proportional to 7,976.64, 11,012.80 and 5,145.04 is: 7,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.64 : 11,012.80 = 5,145.04 : x
  2. Step 2: Convert to fraction form
    7,976.64/11,012.80 = 5,145.04/x
  3. Step 3: Cross multiply
    7,976.64x = 11,012.80 × 5,145.04
  4. Step 4: Simplify right side
    7,976.64x = 56,661,296.51
  5. Step 5: Solve for x
    x = 56,661,296.51/7,976.64
  6. Step 6: Final answer
    x = 7,103.40

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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.