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Finding the Fourth Proportional to 8,661.36, 11,947.86 and 5,303.64

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Solution

The fourth proportional to 8,661.36, 11,947.86 and 5,303.64 is: 7,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.36 : 11,947.86 = 5,303.64 : x
  2. Step 2: Convert to fraction form
    8,661.36/11,947.86 = 5,303.64/x
  3. Step 3: Cross multiply
    8,661.36x = 11,947.86 × 5,303.64
  4. Step 4: Simplify right side
    8,661.36x = 63,367,148.21
  5. Step 5: Solve for x
    x = 63,367,148.21/8,661.36
  6. Step 6: Final answer
    x = 7,316.07

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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.