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Finding the Fourth Proportional to 11,390.64, 17,100.36 and 7,946.16

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Solution

The fourth proportional to 11,390.64, 17,100.36 and 7,946.16 is: 11,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.64 : 17,100.36 = 7,946.16 : x
  2. Step 2: Convert to fraction form
    11,390.64/17,100.36 = 7,946.16/x
  3. Step 3: Cross multiply
    11,390.64x = 17,100.36 × 7,946.16
  4. Step 4: Simplify right side
    11,390.64x = 135,882,196.62
  5. Step 5: Solve for x
    x = 135,882,196.62/11,390.64
  6. Step 6: Final answer
    x = 11,929.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.