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Finding the Fourth Proportional to 11,130.36, 16,696.08 and 9,179

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Solution

The fourth proportional to 11,130.36, 16,696.08 and 9,179 is: 13,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.36 : 16,696.08 = 9,179 : x
  2. Step 2: Convert to fraction form
    11,130.36/16,696.08 = 9,179/x
  3. Step 3: Cross multiply
    11,130.36x = 16,696.08 × 9,179
  4. Step 4: Simplify right side
    11,130.36x = 153,253,318.32
  5. Step 5: Solve for x
    x = 153,253,318.32/11,130.36
  6. Step 6: Final answer
    x = 13,768.95

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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.