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Finding the Fourth Proportional to 8,435.93, 11,643.11 and 5,033.16

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Solution

The fourth proportional to 8,435.93, 11,643.11 and 5,033.16 is: 6,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.93 : 11,643.11 = 5,033.16 : x
  2. Step 2: Convert to fraction form
    8,435.93/11,643.11 = 5,033.16/x
  3. Step 3: Cross multiply
    8,435.93x = 11,643.11 × 5,033.16
  4. Step 4: Simplify right side
    8,435.93x = 58,601,635.53
  5. Step 5: Solve for x
    x = 58,601,635.53/8,435.93
  6. Step 6: Final answer
    x = 6,946.67

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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.