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Finding the Fourth Proportional to 8,415.97, 11,612.16 and 4,830.72

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Solution

The fourth proportional to 8,415.97, 11,612.16 and 4,830.72 is: 6,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.97 : 11,612.16 = 4,830.72 : x
  2. Step 2: Convert to fraction form
    8,415.97/11,612.16 = 4,830.72/x
  3. Step 3: Cross multiply
    8,415.97x = 11,612.16 × 4,830.72
  4. Step 4: Simplify right side
    8,415.97x = 56,095,093.56
  5. Step 5: Solve for x
    x = 56,095,093.56/8,415.97
  6. Step 6: Final answer
    x = 6,665.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.