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Finding the Fourth Proportional to 12,075.30, 16,663.86 and 6,770.10

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Solution

The fourth proportional to 12,075.30, 16,663.86 and 6,770.10 is: 9,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.30 : 16,663.86 = 6,770.10 : x
  2. Step 2: Convert to fraction form
    12,075.30/16,663.86 = 6,770.10/x
  3. Step 3: Cross multiply
    12,075.30x = 16,663.86 × 6,770.10
  4. Step 4: Simplify right side
    12,075.30x = 112,815,998.59
  5. Step 5: Solve for x
    x = 112,815,998.59/12,075.30
  6. Step 6: Final answer
    x = 9,342.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.