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Finding the Fourth Proportional to 6,114.51, 8,437.86 and 4,018.50

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Solution

The fourth proportional to 6,114.51, 8,437.86 and 4,018.50 is: 5,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.51 : 8,437.86 = 4,018.50 : x
  2. Step 2: Convert to fraction form
    6,114.51/8,437.86 = 4,018.50/x
  3. Step 3: Cross multiply
    6,114.51x = 8,437.86 × 4,018.50
  4. Step 4: Simplify right side
    6,114.51x = 33,907,540.41
  5. Step 5: Solve for x
    x = 33,907,540.41/6,114.51
  6. Step 6: Final answer
    x = 5,545.42

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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.