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Finding the Fourth Proportional to 10,708.96, 14,779.74 and 5,993.50

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Solution

The fourth proportional to 10,708.96, 14,779.74 and 5,993.50 is: 8,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.96 : 14,779.74 = 5,993.50 : x
  2. Step 2: Convert to fraction form
    10,708.96/14,779.74 = 5,993.50/x
  3. Step 3: Cross multiply
    10,708.96x = 14,779.74 × 5,993.50
  4. Step 4: Simplify right side
    10,708.96x = 88,582,371.69
  5. Step 5: Solve for x
    x = 88,582,371.69/10,708.96
  6. Step 6: Final answer
    x = 8,271.80

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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.