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Finding the Fourth Proportional to 7,478.94, 11,206.01 and 4,548.38

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Solution

The fourth proportional to 7,478.94, 11,206.01 and 4,548.38 is: 6,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.94 : 11,206.01 = 4,548.38 : x
  2. Step 2: Convert to fraction form
    7,478.94/11,206.01 = 4,548.38/x
  3. Step 3: Cross multiply
    7,478.94x = 11,206.01 × 4,548.38
  4. Step 4: Simplify right side
    7,478.94x = 50,969,191.76
  5. Step 5: Solve for x
    x = 50,969,191.76/7,478.94
  6. Step 6: Final answer
    x = 6,815.03

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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.