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Finding the Fourth Proportional to 7,047.81, 10,577.04 and 4,821.33

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Solution

The fourth proportional to 7,047.81, 10,577.04 and 4,821.33 is: 7,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.81 : 10,577.04 = 4,821.33 : x
  2. Step 2: Convert to fraction form
    7,047.81/10,577.04 = 4,821.33/x
  3. Step 3: Cross multiply
    7,047.81x = 10,577.04 × 4,821.33
  4. Step 4: Simplify right side
    7,047.81x = 50,995,400.26
  5. Step 5: Solve for x
    x = 50,995,400.26/7,047.81
  6. Step 6: Final answer
    x = 7,235.64

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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.