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Finding the Fourth Proportional to 7,383.80, 11,075.70 and 4,467.80

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Solution

The fourth proportional to 7,383.80, 11,075.70 and 4,467.80 is: 6,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.80 : 11,075.70 = 4,467.80 : x
  2. Step 2: Convert to fraction form
    7,383.80/11,075.70 = 4,467.80/x
  3. Step 3: Cross multiply
    7,383.80x = 11,075.70 × 4,467.80
  4. Step 4: Simplify right side
    7,383.80x = 49,484,012.46
  5. Step 5: Solve for x
    x = 49,484,012.46/7,383.80
  6. Step 6: Final answer
    x = 6,701.70

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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.