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Finding the Fourth Proportional to 8,764.16, 13,120.32 and 5,832.32

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Solution

The fourth proportional to 8,764.16, 13,120.32 and 5,832.32 is: 8,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.16 : 13,120.32 = 5,832.32 : x
  2. Step 2: Convert to fraction form
    8,764.16/13,120.32 = 5,832.32/x
  3. Step 3: Cross multiply
    8,764.16x = 13,120.32 × 5,832.32
  4. Step 4: Simplify right side
    8,764.16x = 76,521,904.74
  5. Step 5: Solve for x
    x = 76,521,904.74/8,764.16
  6. Step 6: Final answer
    x = 8,731.23

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Why These Related Problems?

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