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Finding the Fourth Proportional to 11,810.21, 16,298.07 and 6,505.39

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Solution

The fourth proportional to 11,810.21, 16,298.07 and 6,505.39 is: 8,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.21 : 16,298.07 = 6,505.39 : x
  2. Step 2: Convert to fraction form
    11,810.21/16,298.07 = 6,505.39/x
  3. Step 3: Cross multiply
    11,810.21x = 16,298.07 × 6,505.39
  4. Step 4: Simplify right side
    11,810.21x = 106,025,220.11
  5. Step 5: Solve for x
    x = 106,025,220.11/11,810.21
  6. Step 6: Final answer
    x = 8,977.42

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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.