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Finding the Fourth Proportional to 10,552.93, 14,562.79 and 5,837.11

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Solution

The fourth proportional to 10,552.93, 14,562.79 and 5,837.11 is: 8,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.93 : 14,562.79 = 5,837.11 : x
  2. Step 2: Convert to fraction form
    10,552.93/14,562.79 = 5,837.11/x
  3. Step 3: Cross multiply
    10,552.93x = 14,562.79 × 5,837.11
  4. Step 4: Simplify right side
    10,552.93x = 85,004,607.14
  5. Step 5: Solve for x
    x = 85,004,607.14/10,552.93
  6. Step 6: Final answer
    x = 8,055.07

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Why These Related Problems?

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