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Finding the Fourth Proportional to 7,116.73, 9,820.34 and 4,131.98

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Solution

The fourth proportional to 7,116.73, 9,820.34 and 4,131.98 is: 5,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.73 : 9,820.34 = 4,131.98 : x
  2. Step 2: Convert to fraction form
    7,116.73/9,820.34 = 4,131.98/x
  3. Step 3: Cross multiply
    7,116.73x = 9,820.34 × 4,131.98
  4. Step 4: Simplify right side
    7,116.73x = 40,577,415.54
  5. Step 5: Solve for x
    x = 40,577,415.54/7,116.73
  6. Step 6: Final answer
    x = 5,701.70

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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.