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Finding the Fourth Proportional to 10,333.44, 15,482.24 and 6,440.64

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Solution

The fourth proportional to 10,333.44, 15,482.24 and 6,440.64 is: 9,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.44 : 15,482.24 = 6,440.64 : x
  2. Step 2: Convert to fraction form
    10,333.44/15,482.24 = 6,440.64/x
  3. Step 3: Cross multiply
    10,333.44x = 15,482.24 × 6,440.64
  4. Step 4: Simplify right side
    10,333.44x = 99,715,534.23
  5. Step 5: Solve for x
    x = 99,715,534.23/10,333.44
  6. Step 6: Final answer
    x = 9,649.79

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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.