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Finding the Fourth Proportional to 7,635.80, 11,448.30 and 3,477.80

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Solution

The fourth proportional to 7,635.80, 11,448.30 and 3,477.80 is: 5,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.80 : 11,448.30 = 3,477.80 : x
  2. Step 2: Convert to fraction form
    7,635.80/11,448.30 = 3,477.80/x
  3. Step 3: Cross multiply
    7,635.80x = 11,448.30 × 3,477.80
  4. Step 4: Simplify right side
    7,635.80x = 39,814,897.74
  5. Step 5: Solve for x
    x = 39,814,897.74/7,635.80
  6. Step 6: Final answer
    x = 5,214.24

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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.