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Finding the Fourth Proportional to 8,492.07, 12,738.78 and 3,563.22

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Solution

The fourth proportional to 8,492.07, 12,738.78 and 3,563.22 is: 5,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.07 : 12,738.78 = 3,563.22 : x
  2. Step 2: Convert to fraction form
    8,492.07/12,738.78 = 3,563.22/x
  3. Step 3: Cross multiply
    8,492.07x = 12,738.78 × 3,563.22
  4. Step 4: Simplify right side
    8,492.07x = 45,391,075.67
  5. Step 5: Solve for x
    x = 45,391,075.67/8,492.07
  6. Step 6: Final answer
    x = 5,345.11

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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.