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Finding the Fourth Proportional to 7,445.50, 11,168.25 and 1,973.50

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Solution

The fourth proportional to 7,445.50, 11,168.25 and 1,973.50 is: 2,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.50 : 11,168.25 = 1,973.50 : x
  2. Step 2: Convert to fraction form
    7,445.50/11,168.25 = 1,973.50/x
  3. Step 3: Cross multiply
    7,445.50x = 11,168.25 × 1,973.50
  4. Step 4: Simplify right side
    7,445.50x = 22,040,541.38
  5. Step 5: Solve for x
    x = 22,040,541.38/7,445.50
  6. Step 6: Final answer
    x = 2,960.25

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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.