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Finding the Fourth Proportional to 8,065.83, 12,087.40 and 6,415.05

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Solution

The fourth proportional to 8,065.83, 12,087.40 and 6,415.05 is: 9,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.83 : 12,087.40 = 6,415.05 : x
  2. Step 2: Convert to fraction form
    8,065.83/12,087.40 = 6,415.05/x
  3. Step 3: Cross multiply
    8,065.83x = 12,087.40 × 6,415.05
  4. Step 4: Simplify right side
    8,065.83x = 77,541,275.37
  5. Step 5: Solve for x
    x = 77,541,275.37/8,065.83
  6. Step 6: Final answer
    x = 9,613.55

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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.