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Finding the Fourth Proportional to 7,812.98, 10,770.69 and 5,570.96

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Solution

The fourth proportional to 7,812.98, 10,770.69 and 5,570.96 is: 7,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.98 : 10,770.69 = 5,570.96 : x
  2. Step 2: Convert to fraction form
    7,812.98/10,770.69 = 5,570.96/x
  3. Step 3: Cross multiply
    7,812.98x = 10,770.69 × 5,570.96
  4. Step 4: Simplify right side
    7,812.98x = 60,003,083.16
  5. Step 5: Solve for x
    x = 60,003,083.16/7,812.98
  6. Step 6: Final answer
    x = 7,679.92

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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.