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Finding the Fourth Proportional to 8,192.24, 12,266.94 and 4,486.76

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Solution

The fourth proportional to 8,192.24, 12,266.94 and 4,486.76 is: 6,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.24 : 12,266.94 = 4,486.76 : x
  2. Step 2: Convert to fraction form
    8,192.24/12,266.94 = 4,486.76/x
  3. Step 3: Cross multiply
    8,192.24x = 12,266.94 × 4,486.76
  4. Step 4: Simplify right side
    8,192.24x = 55,038,815.71
  5. Step 5: Solve for x
    x = 55,038,815.71/8,192.24
  6. Step 6: Final answer
    x = 6,718.41

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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.