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Finding the Fourth Proportional to 8,976.51, 12,386.18 and 5,200.04

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Solution

The fourth proportional to 8,976.51, 12,386.18 and 5,200.04 is: 7,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.51 : 12,386.18 = 5,200.04 : x
  2. Step 2: Convert to fraction form
    8,976.51/12,386.18 = 5,200.04/x
  3. Step 3: Cross multiply
    8,976.51x = 12,386.18 × 5,200.04
  4. Step 4: Simplify right side
    8,976.51x = 64,408,543.52
  5. Step 5: Solve for x
    x = 64,408,543.52/8,976.51
  6. Step 6: Final answer
    x = 7,175.23

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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.