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Finding the Fourth Proportional to 7,206.16, 10,738.61 and 6,971.26

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Solution

The fourth proportional to 7,206.16, 10,738.61 and 6,971.26 is: 10,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.16 : 10,738.61 = 6,971.26 : x
  2. Step 2: Convert to fraction form
    7,206.16/10,738.61 = 6,971.26/x
  3. Step 3: Cross multiply
    7,206.16x = 10,738.61 × 6,971.26
  4. Step 4: Simplify right side
    7,206.16x = 74,861,642.35
  5. Step 5: Solve for x
    x = 74,861,642.35/7,206.16
  6. Step 6: Final answer
    x = 10,388.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.