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Finding the Fourth Proportional to 7,005.70, 10,508.50 and 2,075.37

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Solution

The fourth proportional to 7,005.70, 10,508.50 and 2,075.37 is: 3,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.70 : 10,508.50 = 2,075.37 : x
  2. Step 2: Convert to fraction form
    7,005.70/10,508.50 = 2,075.37/x
  3. Step 3: Cross multiply
    7,005.70x = 10,508.50 × 2,075.37
  4. Step 4: Simplify right side
    7,005.70x = 21,809,025.65
  5. Step 5: Solve for x
    x = 21,809,025.65/7,005.70
  6. Step 6: Final answer
    x = 3,113.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.