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Finding the Fourth Proportional to 10,005.12, 15,003.06 and 5,846.40

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Solution

The fourth proportional to 10,005.12, 15,003.06 and 5,846.40 is: 8,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.12 : 15,003.06 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    10,005.12/15,003.06 = 5,846.40/x
  3. Step 3: Cross multiply
    10,005.12x = 15,003.06 × 5,846.40
  4. Step 4: Simplify right side
    10,005.12x = 87,713,910.26
  5. Step 5: Solve for x
    x = 87,713,910.26/10,005.12
  6. Step 6: Final answer
    x = 8,766.90

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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.