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Finding the Fourth Proportional to 12,082.83, 16,671.99 and 7,301.80

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Solution

The fourth proportional to 12,082.83, 16,671.99 and 7,301.80 is: 10,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.83 : 16,671.99 = 7,301.80 : x
  2. Step 2: Convert to fraction form
    12,082.83/16,671.99 = 7,301.80/x
  3. Step 3: Cross multiply
    12,082.83x = 16,671.99 × 7,301.80
  4. Step 4: Simplify right side
    12,082.83x = 121,735,536.58
  5. Step 5: Solve for x
    x = 121,735,536.58/12,082.83
  6. Step 6: Final answer
    x = 10,075.08

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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.