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Finding the Fourth Proportional to 7,404.64, 10,219.84 and 4,755.40

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Solution

The fourth proportional to 7,404.64, 10,219.84 and 4,755.40 is: 6,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.64 : 10,219.84 = 4,755.40 : x
  2. Step 2: Convert to fraction form
    7,404.64/10,219.84 = 4,755.40/x
  3. Step 3: Cross multiply
    7,404.64x = 10,219.84 × 4,755.40
  4. Step 4: Simplify right side
    7,404.64x = 48,599,427.14
  5. Step 5: Solve for x
    x = 48,599,427.14/7,404.64
  6. Step 6: Final answer
    x = 6,563.37

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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.