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Finding the Fourth Proportional to 6,710.88, 10,064.16 and 2,813.28

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Solution

The fourth proportional to 6,710.88, 10,064.16 and 2,813.28 is: 4,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.88 : 10,064.16 = 2,813.28 : x
  2. Step 2: Convert to fraction form
    6,710.88/10,064.16 = 2,813.28/x
  3. Step 3: Cross multiply
    6,710.88x = 10,064.16 × 2,813.28
  4. Step 4: Simplify right side
    6,710.88x = 28,313,300.04
  5. Step 5: Solve for x
    x = 28,313,300.04/6,710.88
  6. Step 6: Final answer
    x = 4,219.01

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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.