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Finding the Fourth Proportional to 11,929.96, 17,875.44 and 6,078.52

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Solution

The fourth proportional to 11,929.96, 17,875.44 and 6,078.52 is: 9,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.96 : 17,875.44 = 6,078.52 : x
  2. Step 2: Convert to fraction form
    11,929.96/17,875.44 = 6,078.52/x
  3. Step 3: Cross multiply
    11,929.96x = 17,875.44 × 6,078.52
  4. Step 4: Simplify right side
    11,929.96x = 108,656,219.55
  5. Step 5: Solve for x
    x = 108,656,219.55/11,929.96
  6. Step 6: Final answer
    x = 9,107.84

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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.