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Finding the Fourth Proportional to 7,415.64, 10,242.08 and 5,408.01

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Solution

The fourth proportional to 7,415.64, 10,242.08 and 5,408.01 is: 7,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.64 : 10,242.08 = 5,408.01 : x
  2. Step 2: Convert to fraction form
    7,415.64/10,242.08 = 5,408.01/x
  3. Step 3: Cross multiply
    7,415.64x = 10,242.08 × 5,408.01
  4. Step 4: Simplify right side
    7,415.64x = 55,389,244.02
  5. Step 5: Solve for x
    x = 55,389,244.02/7,415.64
  6. Step 6: Final answer
    x = 7,469.25

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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.