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Finding the Fourth Proportional to 12,160, 16,780.84 and 6,571.04

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Solution

The fourth proportional to 12,160, 16,780.84 and 6,571.04 is: 9,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160 : 16,780.84 = 6,571.04 : x
  2. Step 2: Convert to fraction form
    12,160/16,780.84 = 6,571.04/x
  3. Step 3: Cross multiply
    12,160x = 16,780.84 × 6,571.04
  4. Step 4: Simplify right side
    12,160x = 110,267,570.87
  5. Step 5: Solve for x
    x = 110,267,570.87/12,160
  6. Step 6: Final answer
    x = 9,068.06

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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.