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Finding the Fourth Proportional to 7,307.81, 10,082.36 and 4,120.71

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Solution

The fourth proportional to 7,307.81, 10,082.36 and 4,120.71 is: 5,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.81 : 10,082.36 = 4,120.71 : x
  2. Step 2: Convert to fraction form
    7,307.81/10,082.36 = 4,120.71/x
  3. Step 3: Cross multiply
    7,307.81x = 10,082.36 × 4,120.71
  4. Step 4: Simplify right side
    7,307.81x = 41,546,410.66
  5. Step 5: Solve for x
    x = 41,546,410.66/7,307.81
  6. Step 6: Final answer
    x = 5,685.21

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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.