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Finding the Fourth Proportional to 11,807.28, 16,294.05 and 7,091.60

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Solution

The fourth proportional to 11,807.28, 16,294.05 and 7,091.60 is: 9,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.28 : 16,294.05 = 7,091.60 : x
  2. Step 2: Convert to fraction form
    11,807.28/16,294.05 = 7,091.60/x
  3. Step 3: Cross multiply
    11,807.28x = 16,294.05 × 7,091.60
  4. Step 4: Simplify right side
    11,807.28x = 115,550,803.51
  5. Step 5: Solve for x
    x = 115,550,803.51/11,807.28
  6. Step 6: Final answer
    x = 9,786.40

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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.