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Finding the Fourth Proportional to 10,553.36, 14,562.65 and 5,837.54

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Solution

The fourth proportional to 10,553.36, 14,562.65 and 5,837.54 is: 8,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.36 : 14,562.65 = 5,837.54 : x
  2. Step 2: Convert to fraction form
    10,553.36/14,562.65 = 5,837.54/x
  3. Step 3: Cross multiply
    10,553.36x = 14,562.65 × 5,837.54
  4. Step 4: Simplify right side
    10,553.36x = 85,009,949.88
  5. Step 5: Solve for x
    x = 85,009,949.88/10,553.36
  6. Step 6: Final answer
    x = 8,055.25

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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.