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Finding the Fourth Proportional to 8,783.68, 13,176.96 and 4,164.16

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Solution

The fourth proportional to 8,783.68, 13,176.96 and 4,164.16 is: 6,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.68 : 13,176.96 = 4,164.16 : x
  2. Step 2: Convert to fraction form
    8,783.68/13,176.96 = 4,164.16/x
  3. Step 3: Cross multiply
    8,783.68x = 13,176.96 × 4,164.16
  4. Step 4: Simplify right side
    8,783.68x = 54,870,969.75
  5. Step 5: Solve for x
    x = 54,870,969.75/8,783.68
  6. Step 6: Final answer
    x = 6,246.92

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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.