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Finding the Fourth Proportional to 10,552.60, 14,562.66 and 5,837.14

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Solution

The fourth proportional to 10,552.60, 14,562.66 and 5,837.14 is: 8,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.60 : 14,562.66 = 5,837.14 : x
  2. Step 2: Convert to fraction form
    10,552.60/14,562.66 = 5,837.14/x
  3. Step 3: Cross multiply
    10,552.60x = 14,562.66 × 5,837.14
  4. Step 4: Simplify right side
    10,552.60x = 85,004,285.19
  5. Step 5: Solve for x
    x = 85,004,285.19/10,552.60
  6. Step 6: Final answer
    x = 8,055.29

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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.