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Finding the Fourth Proportional to 7,703.66, 10,631 and 4,166.86

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Solution

The fourth proportional to 7,703.66, 10,631 and 4,166.86 is: 5,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.66 : 10,631 = 4,166.86 : x
  2. Step 2: Convert to fraction form
    7,703.66/10,631 = 4,166.86/x
  3. Step 3: Cross multiply
    7,703.66x = 10,631 × 4,166.86
  4. Step 4: Simplify right side
    7,703.66x = 44,297,888.66
  5. Step 5: Solve for x
    x = 44,297,888.66/7,703.66
  6. Step 6: Final answer
    x = 5,750.24

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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.