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Finding the Fourth Proportional to 10,446.02, 15,671.73 and 4,604.30

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Solution

The fourth proportional to 10,446.02, 15,671.73 and 4,604.30 is: 6,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.02 : 15,671.73 = 4,604.30 : x
  2. Step 2: Convert to fraction form
    10,446.02/15,671.73 = 4,604.30/x
  3. Step 3: Cross multiply
    10,446.02x = 15,671.73 × 4,604.30
  4. Step 4: Simplify right side
    10,446.02x = 72,157,346.44
  5. Step 5: Solve for x
    x = 72,157,346.44/10,446.02
  6. Step 6: Final answer
    x = 6,907.64

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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.