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Finding the Fourth Proportional to 8,226.77, 12,312.81 and 6,575.58

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Solution

The fourth proportional to 8,226.77, 12,312.81 and 6,575.58 is: 9,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.77 : 12,312.81 = 6,575.58 : x
  2. Step 2: Convert to fraction form
    8,226.77/12,312.81 = 6,575.58/x
  3. Step 3: Cross multiply
    8,226.77x = 12,312.81 × 6,575.58
  4. Step 4: Simplify right side
    8,226.77x = 80,963,867.18
  5. Step 5: Solve for x
    x = 80,963,867.18/8,226.77
  6. Step 6: Final answer
    x = 9,841.52

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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.