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Finding the Fourth Proportional to 7,724.26, 10,667.04 and 6,598.65

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Solution

The fourth proportional to 7,724.26, 10,667.04 and 6,598.65 is: 9,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.26 : 10,667.04 = 6,598.65 : x
  2. Step 2: Convert to fraction form
    7,724.26/10,667.04 = 6,598.65/x
  3. Step 3: Cross multiply
    7,724.26x = 10,667.04 × 6,598.65
  4. Step 4: Simplify right side
    7,724.26x = 70,388,063.50
  5. Step 5: Solve for x
    x = 70,388,063.50/7,724.26
  6. Step 6: Final answer
    x = 9,112.60

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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.