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Finding the Fourth Proportional to 8,106.47, 11,186.93 and 4,380.47

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Solution

The fourth proportional to 8,106.47, 11,186.93 and 4,380.47 is: 6,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.47 : 11,186.93 = 4,380.47 : x
  2. Step 2: Convert to fraction form
    8,106.47/11,186.93 = 4,380.47/x
  3. Step 3: Cross multiply
    8,106.47x = 11,186.93 × 4,380.47
  4. Step 4: Simplify right side
    8,106.47x = 49,004,008.22
  5. Step 5: Solve for x
    x = 49,004,008.22/8,106.47
  6. Step 6: Final answer
    x = 6,045.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.