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Finding the Fourth Proportional to 7,133.56, 9,847.68 and 5,365.84

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Solution

The fourth proportional to 7,133.56, 9,847.68 and 5,365.84 is: 7,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.56 : 9,847.68 = 5,365.84 : x
  2. Step 2: Convert to fraction form
    7,133.56/9,847.68 = 5,365.84/x
  3. Step 3: Cross multiply
    7,133.56x = 9,847.68 × 5,365.84
  4. Step 4: Simplify right side
    7,133.56x = 52,841,075.25
  5. Step 5: Solve for x
    x = 52,841,075.25/7,133.56
  6. Step 6: Final answer
    x = 7,407.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.