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Finding the Fourth Proportional to 10,963.16, 16,443.90 and 4,037

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Solution

The fourth proportional to 10,963.16, 16,443.90 and 4,037 is: 6,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.16 : 16,443.90 = 4,037 : x
  2. Step 2: Convert to fraction form
    10,963.16/16,443.90 = 4,037/x
  3. Step 3: Cross multiply
    10,963.16x = 16,443.90 × 4,037
  4. Step 4: Simplify right side
    10,963.16x = 66,384,024.30
  5. Step 5: Solve for x
    x = 66,384,024.30/10,963.16
  6. Step 6: Final answer
    x = 6,055.19

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Why These Related Problems?

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