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Finding the Fourth Proportional to 7,240.80, 9,994.56 and 5,751.36

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Solution

The fourth proportional to 7,240.80, 9,994.56 and 5,751.36 is: 7,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.80 : 9,994.56 = 5,751.36 : x
  2. Step 2: Convert to fraction form
    7,240.80/9,994.56 = 5,751.36/x
  3. Step 3: Cross multiply
    7,240.80x = 9,994.56 × 5,751.36
  4. Step 4: Simplify right side
    7,240.80x = 57,482,312.60
  5. Step 5: Solve for x
    x = 57,482,312.60/7,240.80
  6. Step 6: Final answer
    x = 7,938.67

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Why These Related Problems?

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