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Finding the Fourth Proportional to 7,041.38, 9,716.96 and 4,057.04

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Solution

The fourth proportional to 7,041.38, 9,716.96 and 4,057.04 is: 5,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.38 : 9,716.96 = 4,057.04 : x
  2. Step 2: Convert to fraction form
    7,041.38/9,716.96 = 4,057.04/x
  3. Step 3: Cross multiply
    7,041.38x = 9,716.96 × 4,057.04
  4. Step 4: Simplify right side
    7,041.38x = 39,422,075.18
  5. Step 5: Solve for x
    x = 39,422,075.18/7,041.38
  6. Step 6: Final answer
    x = 5,598.63

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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.