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Finding the Fourth Proportional to 7,112.45, 10,646.78 and 4,196.45

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Solution

The fourth proportional to 7,112.45, 10,646.78 and 4,196.45 is: 6,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.45 : 10,646.78 = 4,196.45 : x
  2. Step 2: Convert to fraction form
    7,112.45/10,646.78 = 4,196.45/x
  3. Step 3: Cross multiply
    7,112.45x = 10,646.78 × 4,196.45
  4. Step 4: Simplify right side
    7,112.45x = 44,678,685.57
  5. Step 5: Solve for x
    x = 44,678,685.57/7,112.45
  6. Step 6: Final answer
    x = 6,281.76

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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.