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Finding the Fourth Proportional to 5,347.22, 8,014.95 and 4,111.56

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Solution

The fourth proportional to 5,347.22, 8,014.95 and 4,111.56 is: 6,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.22 : 8,014.95 = 4,111.56 : x
  2. Step 2: Convert to fraction form
    5,347.22/8,014.95 = 4,111.56/x
  3. Step 3: Cross multiply
    5,347.22x = 8,014.95 × 4,111.56
  4. Step 4: Simplify right side
    5,347.22x = 32,953,947.82
  5. Step 5: Solve for x
    x = 32,953,947.82/5,347.22
  6. Step 6: Final answer
    x = 6,162.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.