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Finding the Fourth Proportional to 7,353.50, 10,147.84 and 4,041.50

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Solution

The fourth proportional to 7,353.50, 10,147.84 and 4,041.50 is: 5,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.50 : 10,147.84 = 4,041.50 : x
  2. Step 2: Convert to fraction form
    7,353.50/10,147.84 = 4,041.50/x
  3. Step 3: Cross multiply
    7,353.50x = 10,147.84 × 4,041.50
  4. Step 4: Simplify right side
    7,353.50x = 41,012,495.36
  5. Step 5: Solve for x
    x = 41,012,495.36/7,353.50
  6. Step 6: Final answer
    x = 5,577.28

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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.