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Finding the Fourth Proportional to 7,041.35, 9,716.40 and 4,208.16

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Solution

The fourth proportional to 7,041.35, 9,716.40 and 4,208.16 is: 5,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.35 : 9,716.40 = 4,208.16 : x
  2. Step 2: Convert to fraction form
    7,041.35/9,716.40 = 4,208.16/x
  3. Step 3: Cross multiply
    7,041.35x = 9,716.40 × 4,208.16
  4. Step 4: Simplify right side
    7,041.35x = 40,888,165.82
  5. Step 5: Solve for x
    x = 40,888,165.82/7,041.35
  6. Step 6: Final answer
    x = 5,806.87

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