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Finding the Fourth Proportional to 7,536.63, 10,400.54 and 4,179.95

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Solution

The fourth proportional to 7,536.63, 10,400.54 and 4,179.95 is: 5,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.63 : 10,400.54 = 4,179.95 : x
  2. Step 2: Convert to fraction form
    7,536.63/10,400.54 = 4,179.95/x
  3. Step 3: Cross multiply
    7,536.63x = 10,400.54 × 4,179.95
  4. Step 4: Simplify right side
    7,536.63x = 43,473,773.62
  5. Step 5: Solve for x
    x = 43,473,773.62/7,536.63
  6. Step 6: Final answer
    x = 5,768.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.