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Finding the Fourth Proportional to 7,006.69, 10,509.09 and 2,075.41

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Solution

The fourth proportional to 7,006.69, 10,509.09 and 2,075.41 is: 3,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.69 : 10,509.09 = 2,075.41 : x
  2. Step 2: Convert to fraction form
    7,006.69/10,509.09 = 2,075.41/x
  3. Step 3: Cross multiply
    7,006.69x = 10,509.09 × 2,075.41
  4. Step 4: Simplify right side
    7,006.69x = 21,810,670.48
  5. Step 5: Solve for x
    x = 21,810,670.48/7,006.69
  6. Step 6: Final answer
    x = 3,112.84

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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.