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Finding the Fourth Proportional to 7,210.80, 10,820.75 and 2,828.14

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Solution

The fourth proportional to 7,210.80, 10,820.75 and 2,828.14 is: 4,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.80 : 10,820.75 = 2,828.14 : x
  2. Step 2: Convert to fraction form
    7,210.80/10,820.75 = 2,828.14/x
  3. Step 3: Cross multiply
    7,210.80x = 10,820.75 × 2,828.14
  4. Step 4: Simplify right side
    7,210.80x = 30,602,595.91
  5. Step 5: Solve for x
    x = 30,602,595.91/7,210.80
  6. Step 6: Final answer
    x = 4,243.99

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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.