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Finding the Fourth Proportional to 11,303.40, 16,935.99 and 6,911.64

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Solution

The fourth proportional to 11,303.40, 16,935.99 and 6,911.64 is: 10,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.40 : 16,935.99 = 6,911.64 : x
  2. Step 2: Convert to fraction form
    11,303.40/16,935.99 = 6,911.64/x
  3. Step 3: Cross multiply
    11,303.40x = 16,935.99 × 6,911.64
  4. Step 4: Simplify right side
    11,303.40x = 117,055,465.92
  5. Step 5: Solve for x
    x = 117,055,465.92/11,303.40
  6. Step 6: Final answer
    x = 10,355.77

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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.