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Finding the Fourth Proportional to 11,602.38, 16,011.60 and 6,297.21

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Solution

The fourth proportional to 11,602.38, 16,011.60 and 6,297.21 is: 8,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.38 : 16,011.60 = 6,297.21 : x
  2. Step 2: Convert to fraction form
    11,602.38/16,011.60 = 6,297.21/x
  3. Step 3: Cross multiply
    11,602.38x = 16,011.60 × 6,297.21
  4. Step 4: Simplify right side
    11,602.38x = 100,828,407.64
  5. Step 5: Solve for x
    x = 100,828,407.64/11,602.38
  6. Step 6: Final answer
    x = 8,690.32

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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.