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Finding the Fourth Proportional to 7,770.42, 10,715.94 and 5,113.22

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Solution

The fourth proportional to 7,770.42, 10,715.94 and 5,113.22 is: 7,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.42 : 10,715.94 = 5,113.22 : x
  2. Step 2: Convert to fraction form
    7,770.42/10,715.94 = 5,113.22/x
  3. Step 3: Cross multiply
    7,770.42x = 10,715.94 × 5,113.22
  4. Step 4: Simplify right side
    7,770.42x = 54,792,905.15
  5. Step 5: Solve for x
    x = 54,792,905.15/7,770.42
  6. Step 6: Final answer
    x = 7,051.47

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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.