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Finding the Fourth Proportional to 8,643.65, 11,928.39 and 5,106.86

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Solution

The fourth proportional to 8,643.65, 11,928.39 and 5,106.86 is: 7,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.65 : 11,928.39 = 5,106.86 : x
  2. Step 2: Convert to fraction form
    8,643.65/11,928.39 = 5,106.86/x
  3. Step 3: Cross multiply
    8,643.65x = 11,928.39 × 5,106.86
  4. Step 4: Simplify right side
    8,643.65x = 60,916,617.76
  5. Step 5: Solve for x
    x = 60,916,617.76/8,643.65
  6. Step 6: Final answer
    x = 7,047.56

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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.