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Finding the Fourth Proportional to 12,075.36, 16,662.48 and 6,770.16

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Solution

The fourth proportional to 12,075.36, 16,662.48 and 6,770.16 is: 9,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.36 : 16,662.48 = 6,770.16 : x
  2. Step 2: Convert to fraction form
    12,075.36/16,662.48 = 6,770.16/x
  3. Step 3: Cross multiply
    12,075.36x = 16,662.48 × 6,770.16
  4. Step 4: Simplify right side
    12,075.36x = 112,807,655.60
  5. Step 5: Solve for x
    x = 112,807,655.60/12,075.36
  6. Step 6: Final answer
    x = 9,341.97

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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.