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Finding the Fourth Proportional to 8,216.84, 12,326.96 and 2,670.30

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Solution

The fourth proportional to 8,216.84, 12,326.96 and 2,670.30 is: 4,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.84 : 12,326.96 = 2,670.30 : x
  2. Step 2: Convert to fraction form
    8,216.84/12,326.96 = 2,670.30/x
  3. Step 3: Cross multiply
    8,216.84x = 12,326.96 × 2,670.30
  4. Step 4: Simplify right side
    8,216.84x = 32,916,681.29
  5. Step 5: Solve for x
    x = 32,916,681.29/8,216.84
  6. Step 6: Final answer
    x = 4,006.00

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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.