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Finding the Fourth Proportional to 25,184.56, 37,763.83 and 7,412.91

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Solution

The fourth proportional to 25,184.56, 37,763.83 and 7,412.91 is: 11,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.56 : 37,763.83 = 7,412.91 : x
  2. Step 2: Convert to fraction form
    25,184.56/37,763.83 = 7,412.91/x
  3. Step 3: Cross multiply
    25,184.56x = 37,763.83 × 7,412.91
  4. Step 4: Simplify right side
    25,184.56x = 279,939,684.23
  5. Step 5: Solve for x
    x = 279,939,684.23/25,184.56
  6. Step 6: Final answer
    x = 11,115.53

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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.