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Finding the Fourth Proportional to 7,467.81, 10,303.53 and 4,633.83

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Solution

The fourth proportional to 7,467.81, 10,303.53 and 4,633.83 is: 6,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.81 : 10,303.53 = 4,633.83 : x
  2. Step 2: Convert to fraction form
    7,467.81/10,303.53 = 4,633.83/x
  3. Step 3: Cross multiply
    7,467.81x = 10,303.53 × 4,633.83
  4. Step 4: Simplify right side
    7,467.81x = 47,744,806.42
  5. Step 5: Solve for x
    x = 47,744,806.42/7,467.81
  6. Step 6: Final answer
    x = 6,393.41

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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.