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Finding the Fourth Proportional to 11,297.70, 16,946.72 and 4,281

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Solution

The fourth proportional to 11,297.70, 16,946.72 and 4,281 is: 6,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.70 : 16,946.72 = 4,281 : x
  2. Step 2: Convert to fraction form
    11,297.70/16,946.72 = 4,281/x
  3. Step 3: Cross multiply
    11,297.70x = 16,946.72 × 4,281
  4. Step 4: Simplify right side
    11,297.70x = 72,548,908.32
  5. Step 5: Solve for x
    x = 72,548,908.32/11,297.70
  6. Step 6: Final answer
    x = 6,421.56

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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.