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Finding the Fourth Proportional to 7,409.64, 10,224.72 and 4,266.03

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Solution

The fourth proportional to 7,409.64, 10,224.72 and 4,266.03 is: 5,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.64 : 10,224.72 = 4,266.03 : x
  2. Step 2: Convert to fraction form
    7,409.64/10,224.72 = 4,266.03/x
  3. Step 3: Cross multiply
    7,409.64x = 10,224.72 × 4,266.03
  4. Step 4: Simplify right side
    7,409.64x = 43,618,962.26
  5. Step 5: Solve for x
    x = 43,618,962.26/7,409.64
  6. Step 6: Final answer
    x = 5,886.79

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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.