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Finding the Fourth Proportional to 7,237.80, 10,857.74 and 2,307.49

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Solution

The fourth proportional to 7,237.80, 10,857.74 and 2,307.49 is: 3,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.80 : 10,857.74 = 2,307.49 : x
  2. Step 2: Convert to fraction form
    7,237.80/10,857.74 = 2,307.49/x
  3. Step 3: Cross multiply
    7,237.80x = 10,857.74 × 2,307.49
  4. Step 4: Simplify right side
    7,237.80x = 25,054,087.79
  5. Step 5: Solve for x
    x = 25,054,087.79/7,237.80
  6. Step 6: Final answer
    x = 3,461.56

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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.