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Finding the Fourth Proportional to 8,145.86, 12,192.60 and 7,378.58

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Solution

The fourth proportional to 8,145.86, 12,192.60 and 7,378.58 is: 11,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.86 : 12,192.60 = 7,378.58 : x
  2. Step 2: Convert to fraction form
    8,145.86/12,192.60 = 7,378.58/x
  3. Step 3: Cross multiply
    8,145.86x = 12,192.60 × 7,378.58
  4. Step 4: Simplify right side
    8,145.86x = 89,964,074.51
  5. Step 5: Solve for x
    x = 89,964,074.51/8,145.86
  6. Step 6: Final answer
    x = 11,044.15

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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.