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Finding the Fourth Proportional to 6,415.12, 8,843.34 and 5,089.15

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Solution

The fourth proportional to 6,415.12, 8,843.34 and 5,089.15 is: 7,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.12 : 8,843.34 = 5,089.15 : x
  2. Step 2: Convert to fraction form
    6,415.12/8,843.34 = 5,089.15/x
  3. Step 3: Cross multiply
    6,415.12x = 8,843.34 × 5,089.15
  4. Step 4: Simplify right side
    6,415.12x = 45,005,083.76
  5. Step 5: Solve for x
    x = 45,005,083.76/6,415.12
  6. Step 6: Final answer
    x = 7,015.47

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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.