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Finding the Fourth Proportional to 11,795.16, 17,684.16 and 5,955.90

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Solution

The fourth proportional to 11,795.16, 17,684.16 and 5,955.90 is: 8,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.16 : 17,684.16 = 5,955.90 : x
  2. Step 2: Convert to fraction form
    11,795.16/17,684.16 = 5,955.90/x
  3. Step 3: Cross multiply
    11,795.16x = 17,684.16 × 5,955.90
  4. Step 4: Simplify right side
    11,795.16x = 105,325,088.54
  5. Step 5: Solve for x
    x = 105,325,088.54/11,795.16
  6. Step 6: Final answer
    x = 8,929.52

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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.