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Finding the Fourth Proportional to 7,408.64, 10,223.34 and 4,265.03

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Solution

The fourth proportional to 7,408.64, 10,223.34 and 4,265.03 is: 5,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.64 : 10,223.34 = 4,265.03 : x
  2. Step 2: Convert to fraction form
    7,408.64/10,223.34 = 4,265.03/x
  3. Step 3: Cross multiply
    7,408.64x = 10,223.34 × 4,265.03
  4. Step 4: Simplify right side
    7,408.64x = 43,602,851.80
  5. Step 5: Solve for x
    x = 43,602,851.80/7,408.64
  6. Step 6: Final answer
    x = 5,885.41

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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.