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Finding the Fourth Proportional to 7,004.36, 10,509.64 and 3,671.81

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Solution

The fourth proportional to 7,004.36, 10,509.64 and 3,671.81 is: 5,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.36 : 10,509.64 = 3,671.81 : x
  2. Step 2: Convert to fraction form
    7,004.36/10,509.64 = 3,671.81/x
  3. Step 3: Cross multiply
    7,004.36x = 10,509.64 × 3,671.81
  4. Step 4: Simplify right side
    7,004.36x = 38,589,418.34
  5. Step 5: Solve for x
    x = 38,589,418.34/7,004.36
  6. Step 6: Final answer
    x = 5,509.35

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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.