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Finding the Fourth Proportional to 8,784.48, 13,178.64 and 2,628

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Solution

The fourth proportional to 8,784.48, 13,178.64 and 2,628 is: 3,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.48 : 13,178.64 = 2,628 : x
  2. Step 2: Convert to fraction form
    8,784.48/13,178.64 = 2,628/x
  3. Step 3: Cross multiply
    8,784.48x = 13,178.64 × 2,628
  4. Step 4: Simplify right side
    8,784.48x = 34,633,465.92
  5. Step 5: Solve for x
    x = 34,633,465.92/8,784.48
  6. Step 6: Final answer
    x = 3,942.57

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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.