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Finding the Fourth Proportional to 11,048, 16,572.16 and 2,840

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Solution

The fourth proportional to 11,048, 16,572.16 and 2,840 is: 4,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048 : 16,572.16 = 2,840 : x
  2. Step 2: Convert to fraction form
    11,048/16,572.16 = 2,840/x
  3. Step 3: Cross multiply
    11,048x = 16,572.16 × 2,840
  4. Step 4: Simplify right side
    11,048x = 47,064,934.40
  5. Step 5: Solve for x
    x = 47,064,934.40/11,048
  6. Step 6: Final answer
    x = 4,260.04

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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.