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Finding the Fourth Proportional to 8,530.35, 12,807.29 and 5,891.65

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Solution

The fourth proportional to 8,530.35, 12,807.29 and 5,891.65 is: 8,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.35 : 12,807.29 = 5,891.65 : x
  2. Step 2: Convert to fraction form
    8,530.35/12,807.29 = 5,891.65/x
  3. Step 3: Cross multiply
    8,530.35x = 12,807.29 × 5,891.65
  4. Step 4: Simplify right side
    8,530.35x = 75,456,070.13
  5. Step 5: Solve for x
    x = 75,456,070.13/8,530.35
  6. Step 6: Final answer
    x = 8,845.60

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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.