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Finding the Fourth Proportional to 10,552.96, 14,563.08 and 5,837.20

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Solution

The fourth proportional to 10,552.96, 14,563.08 and 5,837.20 is: 8,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.96 : 14,563.08 = 5,837.20 : x
  2. Step 2: Convert to fraction form
    10,552.96/14,563.08 = 5,837.20/x
  3. Step 3: Cross multiply
    10,552.96x = 14,563.08 × 5,837.20
  4. Step 4: Simplify right side
    10,552.96x = 85,007,610.58
  5. Step 5: Solve for x
    x = 85,007,610.58/10,552.96
  6. Step 6: Final answer
    x = 8,055.33

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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.