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Finding the Fourth Proportional to 11,240.64, 15,509.68 and 6,522.39

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Solution

The fourth proportional to 11,240.64, 15,509.68 and 6,522.39 is: 8,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.64 : 15,509.68 = 6,522.39 : x
  2. Step 2: Convert to fraction form
    11,240.64/15,509.68 = 6,522.39/x
  3. Step 3: Cross multiply
    11,240.64x = 15,509.68 × 6,522.39
  4. Step 4: Simplify right side
    11,240.64x = 101,160,165.43
  5. Step 5: Solve for x
    x = 101,160,165.43/11,240.64
  6. Step 6: Final answer
    x = 8,999.50

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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.