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Finding the Fourth Proportional to 7,703.61, 10,630.99 and 4,166.82

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Solution

The fourth proportional to 7,703.61, 10,630.99 and 4,166.82 is: 5,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.61 : 10,630.99 = 4,166.82 : x
  2. Step 2: Convert to fraction form
    7,703.61/10,630.99 = 4,166.82/x
  3. Step 3: Cross multiply
    7,703.61x = 10,630.99 × 4,166.82
  4. Step 4: Simplify right side
    7,703.61x = 44,297,421.75
  5. Step 5: Solve for x
    x = 44,297,421.75/7,703.61
  6. Step 6: Final answer
    x = 5,750.22

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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.