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Finding the Fourth Proportional to 8,461.06, 12,693.75 and 5,363.08

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Solution

The fourth proportional to 8,461.06, 12,693.75 and 5,363.08 is: 8,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.06 : 12,693.75 = 5,363.08 : x
  2. Step 2: Convert to fraction form
    8,461.06/12,693.75 = 5,363.08/x
  3. Step 3: Cross multiply
    8,461.06x = 12,693.75 × 5,363.08
  4. Step 4: Simplify right side
    8,461.06x = 68,077,596.75
  5. Step 5: Solve for x
    x = 68,077,596.75/8,461.06
  6. Step 6: Final answer
    x = 8,045.99

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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.