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Finding the Fourth Proportional to 10,316.54, 14,236.62 and 5,840.22

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Solution

The fourth proportional to 10,316.54, 14,236.62 and 5,840.22 is: 8,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.54 : 14,236.62 = 5,840.22 : x
  2. Step 2: Convert to fraction form
    10,316.54/14,236.62 = 5,840.22/x
  3. Step 3: Cross multiply
    10,316.54x = 14,236.62 × 5,840.22
  4. Step 4: Simplify right side
    10,316.54x = 83,144,992.86
  5. Step 5: Solve for x
    x = 83,144,992.86/10,316.54
  6. Step 6: Final answer
    x = 8,059.39

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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.