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Finding the Fourth Proportional to 30,840.64, 46,260.80 and 7,467.07

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Solution

The fourth proportional to 30,840.64, 46,260.80 and 7,467.07 is: 11,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.64 : 46,260.80 = 7,467.07 : x
  2. Step 2: Convert to fraction form
    30,840.64/46,260.80 = 7,467.07/x
  3. Step 3: Cross multiply
    30,840.64x = 46,260.80 × 7,467.07
  4. Step 4: Simplify right side
    30,840.64x = 345,432,631.86
  5. Step 5: Solve for x
    x = 345,432,631.86/30,840.64
  6. Step 6: Final answer
    x = 11,200.57

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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.