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Finding the Fourth Proportional to 11,915.36, 16,444.92 and 7,200.32

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Solution

The fourth proportional to 11,915.36, 16,444.92 and 7,200.32 is: 9,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.36 : 16,444.92 = 7,200.32 : x
  2. Step 2: Convert to fraction form
    11,915.36/16,444.92 = 7,200.32/x
  3. Step 3: Cross multiply
    11,915.36x = 16,444.92 × 7,200.32
  4. Step 4: Simplify right side
    11,915.36x = 118,408,686.37
  5. Step 5: Solve for x
    x = 118,408,686.37/11,915.36
  6. Step 6: Final answer
    x = 9,937.48

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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.