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Finding the Fourth Proportional to 7,122.84, 10,685.16 and 2,441.58

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Solution

The fourth proportional to 7,122.84, 10,685.16 and 2,441.58 is: 3,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.84 : 10,685.16 = 2,441.58 : x
  2. Step 2: Convert to fraction form
    7,122.84/10,685.16 = 2,441.58/x
  3. Step 3: Cross multiply
    7,122.84x = 10,685.16 × 2,441.58
  4. Step 4: Simplify right side
    7,122.84x = 26,088,672.95
  5. Step 5: Solve for x
    x = 26,088,672.95/7,122.84
  6. Step 6: Final answer
    x = 3,662.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.