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Finding the Fourth Proportional to 11,285.42, 16,894.11 and 6,075.50

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Solution

The fourth proportional to 11,285.42, 16,894.11 and 6,075.50 is: 9,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.42 : 16,894.11 = 6,075.50 : x
  2. Step 2: Convert to fraction form
    11,285.42/16,894.11 = 6,075.50/x
  3. Step 3: Cross multiply
    11,285.42x = 16,894.11 × 6,075.50
  4. Step 4: Simplify right side
    11,285.42x = 102,640,165.31
  5. Step 5: Solve for x
    x = 102,640,165.31/11,285.42
  6. Step 6: Final answer
    x = 9,094.94

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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.