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Finding the Fourth Proportional to 7,840.42, 10,819.81 and 4,303.66

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Solution

The fourth proportional to 7,840.42, 10,819.81 and 4,303.66 is: 5,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.42 : 10,819.81 = 4,303.66 : x
  2. Step 2: Convert to fraction form
    7,840.42/10,819.81 = 4,303.66/x
  3. Step 3: Cross multiply
    7,840.42x = 10,819.81 × 4,303.66
  4. Step 4: Simplify right side
    7,840.42x = 46,564,729.41
  5. Step 5: Solve for x
    x = 46,564,729.41/7,840.42
  6. Step 6: Final answer
    x = 5,939.06

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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.