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Finding the Fourth Proportional to 7,409.97, 10,226.06 and 4,266.16

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Solution

The fourth proportional to 7,409.97, 10,226.06 and 4,266.16 is: 5,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.97 : 10,226.06 = 4,266.16 : x
  2. Step 2: Convert to fraction form
    7,409.97/10,226.06 = 4,266.16/x
  3. Step 3: Cross multiply
    7,409.97x = 10,226.06 × 4,266.16
  4. Step 4: Simplify right side
    7,409.97x = 43,626,008.13
  5. Step 5: Solve for x
    x = 43,626,008.13/7,409.97
  6. Step 6: Final answer
    x = 5,887.47

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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.