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Finding the Fourth Proportional to 11,915.16, 16,443.22 and 7,196.68

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Solution

The fourth proportional to 11,915.16, 16,443.22 and 7,196.68 is: 9,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.16 : 16,443.22 = 7,196.68 : x
  2. Step 2: Convert to fraction form
    11,915.16/16,443.22 = 7,196.68/x
  3. Step 3: Cross multiply
    11,915.16x = 16,443.22 × 7,196.68
  4. Step 4: Simplify right side
    11,915.16x = 118,336,592.51
  5. Step 5: Solve for x
    x = 118,336,592.51/11,915.16
  6. Step 6: Final answer
    x = 9,931.60

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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.