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Finding the Fourth Proportional to 11,078.80, 16,637.40 and 7,814.80

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Solution

The fourth proportional to 11,078.80, 16,637.40 and 7,814.80 is: 11,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.80 : 16,637.40 = 7,814.80 : x
  2. Step 2: Convert to fraction form
    11,078.80/16,637.40 = 7,814.80/x
  3. Step 3: Cross multiply
    11,078.80x = 16,637.40 × 7,814.80
  4. Step 4: Simplify right side
    11,078.80x = 130,017,953.52
  5. Step 5: Solve for x
    x = 130,017,953.52/11,078.80
  6. Step 6: Final answer
    x = 11,735.74

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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.