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Finding the Fourth Proportional to 7,905.12, 11,865 and 4,012.32

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Solution

The fourth proportional to 7,905.12, 11,865 and 4,012.32 is: 6,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.12 : 11,865 = 4,012.32 : x
  2. Step 2: Convert to fraction form
    7,905.12/11,865 = 4,012.32/x
  3. Step 3: Cross multiply
    7,905.12x = 11,865 × 4,012.32
  4. Step 4: Simplify right side
    7,905.12x = 47,606,176.80
  5. Step 5: Solve for x
    x = 47,606,176.80/7,905.12
  6. Step 6: Final answer
    x = 6,022.20

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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.