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Finding the Fourth Proportional to 7,011.23, 9,675.06 and 3,867.50

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Solution

The fourth proportional to 7,011.23, 9,675.06 and 3,867.50 is: 5,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.23 : 9,675.06 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    7,011.23/9,675.06 = 3,867.50/x
  3. Step 3: Cross multiply
    7,011.23x = 9,675.06 × 3,867.50
  4. Step 4: Simplify right side
    7,011.23x = 37,418,294.55
  5. Step 5: Solve for x
    x = 37,418,294.55/7,011.23
  6. Step 6: Final answer
    x = 5,336.91

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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.