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Finding the Fourth Proportional to 10,226.61, 15,312.54 and 6,006.37

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Solution

The fourth proportional to 10,226.61, 15,312.54 and 6,006.37 is: 8,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.61 : 15,312.54 = 6,006.37 : x
  2. Step 2: Convert to fraction form
    10,226.61/15,312.54 = 6,006.37/x
  3. Step 3: Cross multiply
    10,226.61x = 15,312.54 × 6,006.37
  4. Step 4: Simplify right side
    10,226.61x = 91,972,780.88
  5. Step 5: Solve for x
    x = 91,972,780.88/10,226.61
  6. Step 6: Final answer
    x = 8,993.48

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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.