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Finding the Fourth Proportional to 7,475.53, 11,212.26 and 3,964

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Solution

The fourth proportional to 7,475.53, 11,212.26 and 3,964 is: 5,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.53 : 11,212.26 = 3,964 : x
  2. Step 2: Convert to fraction form
    7,475.53/11,212.26 = 3,964/x
  3. Step 3: Cross multiply
    7,475.53x = 11,212.26 × 3,964
  4. Step 4: Simplify right side
    7,475.53x = 44,445,398.64
  5. Step 5: Solve for x
    x = 44,445,398.64/7,475.53
  6. Step 6: Final answer
    x = 5,945.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.