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Finding the Fourth Proportional to 11,228.64, 15,494.96 and 6,259.68

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Solution

The fourth proportional to 11,228.64, 15,494.96 and 6,259.68 is: 8,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.64 : 15,494.96 = 6,259.68 : x
  2. Step 2: Convert to fraction form
    11,228.64/15,494.96 = 6,259.68/x
  3. Step 3: Cross multiply
    11,228.64x = 15,494.96 × 6,259.68
  4. Step 4: Simplify right side
    11,228.64x = 96,993,491.21
  5. Step 5: Solve for x
    x = 96,993,491.21/11,228.64
  6. Step 6: Final answer
    x = 8,638.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.