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Finding the Fourth Proportional to 7,381.46, 11,068.54 and 3,219.66

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Solution

The fourth proportional to 7,381.46, 11,068.54 and 3,219.66 is: 4,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.46 : 11,068.54 = 3,219.66 : x
  2. Step 2: Convert to fraction form
    7,381.46/11,068.54 = 3,219.66/x
  3. Step 3: Cross multiply
    7,381.46x = 11,068.54 × 3,219.66
  4. Step 4: Simplify right side
    7,381.46x = 35,636,919.40
  5. Step 5: Solve for x
    x = 35,636,919.40/7,381.46
  6. Step 6: Final answer
    x = 4,827.90

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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.