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Finding the Fourth Proportional to 7,270, 10,905.11 and 2,075.88

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Solution

The fourth proportional to 7,270, 10,905.11 and 2,075.88 is: 3,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 10,905.11 = 2,075.88 : x
  2. Step 2: Convert to fraction form
    7,270/10,905.11 = 2,075.88/x
  3. Step 3: Cross multiply
    7,270x = 10,905.11 × 2,075.88
  4. Step 4: Simplify right side
    7,270x = 22,637,699.75
  5. Step 5: Solve for x
    x = 22,637,699.75/7,270
  6. Step 6: Final answer
    x = 3,113.85

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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.