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Finding the Fourth Proportional to 11,575.37, 17,363.87 and 5,730.41

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Solution

The fourth proportional to 11,575.37, 17,363.87 and 5,730.41 is: 8,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.37 : 17,363.87 = 5,730.41 : x
  2. Step 2: Convert to fraction form
    11,575.37/17,363.87 = 5,730.41/x
  3. Step 3: Cross multiply
    11,575.37x = 17,363.87 × 5,730.41
  4. Step 4: Simplify right side
    11,575.37x = 99,502,094.29
  5. Step 5: Solve for x
    x = 99,502,094.29/11,575.37
  6. Step 6: Final answer
    x = 8,596.02

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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.