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Finding the Fourth Proportional to 7,184.57, 10,776.86 and 2,254.59

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Solution

The fourth proportional to 7,184.57, 10,776.86 and 2,254.59 is: 3,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.57 : 10,776.86 = 2,254.59 : x
  2. Step 2: Convert to fraction form
    7,184.57/10,776.86 = 2,254.59/x
  3. Step 3: Cross multiply
    7,184.57x = 10,776.86 × 2,254.59
  4. Step 4: Simplify right side
    7,184.57x = 24,297,389.51
  5. Step 5: Solve for x
    x = 24,297,389.51/7,184.57
  6. Step 6: Final answer
    x = 3,381.89

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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.