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Finding the Fourth Proportional to 10,711.12, 16,068.32 and 3,784

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Solution

The fourth proportional to 10,711.12, 16,068.32 and 3,784 is: 5,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.12 : 16,068.32 = 3,784 : x
  2. Step 2: Convert to fraction form
    10,711.12/16,068.32 = 3,784/x
  3. Step 3: Cross multiply
    10,711.12x = 16,068.32 × 3,784
  4. Step 4: Simplify right side
    10,711.12x = 60,802,522.88
  5. Step 5: Solve for x
    x = 60,802,522.88/10,711.12
  6. Step 6: Final answer
    x = 5,676.58

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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.