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Finding the Fourth Proportional to 7,184.02, 10,776.02 and 2,254.09

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Solution

The fourth proportional to 7,184.02, 10,776.02 and 2,254.09 is: 3,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.02 : 10,776.02 = 2,254.09 : x
  2. Step 2: Convert to fraction form
    7,184.02/10,776.02 = 2,254.09/x
  3. Step 3: Cross multiply
    7,184.02x = 10,776.02 × 2,254.09
  4. Step 4: Simplify right side
    7,184.02x = 24,290,118.92
  5. Step 5: Solve for x
    x = 24,290,118.92/7,184.02
  6. Step 6: Final answer
    x = 3,381.13

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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.