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Finding the Fourth Proportional to 7,238.17, 10,858.04 and 2,306.67

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Solution

The fourth proportional to 7,238.17, 10,858.04 and 2,306.67 is: 3,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.17 : 10,858.04 = 2,306.67 : x
  2. Step 2: Convert to fraction form
    7,238.17/10,858.04 = 2,306.67/x
  3. Step 3: Cross multiply
    7,238.17x = 10,858.04 × 2,306.67
  4. Step 4: Simplify right side
    7,238.17x = 25,045,915.13
  5. Step 5: Solve for x
    x = 25,045,915.13/7,238.17
  6. Step 6: Final answer
    x = 3,460.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.