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Finding the Fourth Proportional to 8,005.30, 11,215.10 and 8,005.30

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Solution

The fourth proportional to 8,005.30, 11,215.10 and 8,005.30 is: 11,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.30 : 11,215.10 = 8,005.30 : x
  2. Step 2: Convert to fraction form
    8,005.30/11,215.10 = 8,005.30/x
  3. Step 3: Cross multiply
    8,005.30x = 11,215.10 × 8,005.30
  4. Step 4: Simplify right side
    8,005.30x = 89,780,240.03
  5. Step 5: Solve for x
    x = 89,780,240.03/8,005.30
  6. Step 6: Final answer
    x = 11,215.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.