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Finding the Fourth Proportional to 7,005.93, 10,507.42 and 2,075.61

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Solution

The fourth proportional to 7,005.93, 10,507.42 and 2,075.61 is: 3,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.93 : 10,507.42 = 2,075.61 : x
  2. Step 2: Convert to fraction form
    7,005.93/10,507.42 = 2,075.61/x
  3. Step 3: Cross multiply
    7,005.93x = 10,507.42 × 2,075.61
  4. Step 4: Simplify right side
    7,005.93x = 21,809,306.03
  5. Step 5: Solve for x
    x = 21,809,306.03/7,005.93
  6. Step 6: Final answer
    x = 3,112.98

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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.