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Finding the Fourth Proportional to 7,315.84, 10,973.13 and 2,050.44

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Solution

The fourth proportional to 7,315.84, 10,973.13 and 2,050.44 is: 3,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.84 : 10,973.13 = 2,050.44 : x
  2. Step 2: Convert to fraction form
    7,315.84/10,973.13 = 2,050.44/x
  3. Step 3: Cross multiply
    7,315.84x = 10,973.13 × 2,050.44
  4. Step 4: Simplify right side
    7,315.84x = 22,499,744.68
  5. Step 5: Solve for x
    x = 22,499,744.68/7,315.84
  6. Step 6: Final answer
    x = 3,075.48

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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.