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Finding the Fourth Proportional to 7,403.94, 10,212.74 and 5,631.66

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Solution

The fourth proportional to 7,403.94, 10,212.74 and 5,631.66 is: 7,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.94 : 10,212.74 = 5,631.66 : x
  2. Step 2: Convert to fraction form
    7,403.94/10,212.74 = 5,631.66/x
  3. Step 3: Cross multiply
    7,403.94x = 10,212.74 × 5,631.66
  4. Step 4: Simplify right side
    7,403.94x = 57,514,679.35
  5. Step 5: Solve for x
    x = 57,514,679.35/7,403.94
  6. Step 6: Final answer
    x = 7,768.12

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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.