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Finding the Fourth Proportional to 10,970.37, 16,464.97 and 4,401.07

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Solution

The fourth proportional to 10,970.37, 16,464.97 and 4,401.07 is: 6,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.37 : 16,464.97 = 4,401.07 : x
  2. Step 2: Convert to fraction form
    10,970.37/16,464.97 = 4,401.07/x
  3. Step 3: Cross multiply
    10,970.37x = 16,464.97 × 4,401.07
  4. Step 4: Simplify right side
    10,970.37x = 72,463,449.86
  5. Step 5: Solve for x
    x = 72,463,449.86/10,970.37
  6. Step 6: Final answer
    x = 6,605.38

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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.