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Finding the Fourth Proportional to 11,808.98, 16,295.74 and 6,503.38

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Solution

The fourth proportional to 11,808.98, 16,295.74 and 6,503.38 is: 8,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.98 : 16,295.74 = 6,503.38 : x
  2. Step 2: Convert to fraction form
    11,808.98/16,295.74 = 6,503.38/x
  3. Step 3: Cross multiply
    11,808.98x = 16,295.74 × 6,503.38
  4. Step 4: Simplify right side
    11,808.98x = 105,977,389.60
  5. Step 5: Solve for x
    x = 105,977,389.60/11,808.98
  6. Step 6: Final answer
    x = 8,974.31

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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.