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Finding the Fourth Proportional to 10,316.67, 14,237.17 and 5,840.30

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Solution

The fourth proportional to 10,316.67, 14,237.17 and 5,840.30 is: 8,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.67 : 14,237.17 = 5,840.30 : x
  2. Step 2: Convert to fraction form
    10,316.67/14,237.17 = 5,840.30/x
  3. Step 3: Cross multiply
    10,316.67x = 14,237.17 × 5,840.30
  4. Step 4: Simplify right side
    10,316.67x = 83,149,364.94
  5. Step 5: Solve for x
    x = 83,149,364.94/10,316.67
  6. Step 6: Final answer
    x = 8,059.71

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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.