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Finding the Fourth Proportional to 12,075.37, 16,663.05 and 6,769.46

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Solution

The fourth proportional to 12,075.37, 16,663.05 and 6,769.46 is: 9,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.37 : 16,663.05 = 6,769.46 : x
  2. Step 2: Convert to fraction form
    12,075.37/16,663.05 = 6,769.46/x
  3. Step 3: Cross multiply
    12,075.37x = 16,663.05 × 6,769.46
  4. Step 4: Simplify right side
    12,075.37x = 112,799,892.11
  5. Step 5: Solve for x
    x = 112,799,892.11/12,075.37
  6. Step 6: Final answer
    x = 9,341.32

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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.