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Finding the Fourth Proportional to 10,552.92, 14,562.05 and 5,837.10

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Solution

The fourth proportional to 10,552.92, 14,562.05 and 5,837.10 is: 8,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.92 : 14,562.05 = 5,837.10 : x
  2. Step 2: Convert to fraction form
    10,552.92/14,562.05 = 5,837.10/x
  3. Step 3: Cross multiply
    10,552.92x = 14,562.05 × 5,837.10
  4. Step 4: Simplify right side
    10,552.92x = 85,000,142.06
  5. Step 5: Solve for x
    x = 85,000,142.06/10,552.92
  6. Step 6: Final answer
    x = 8,054.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.