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Finding the Fourth Proportional to 8,322.49, 11,486.25 and 5,341.69

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Solution

The fourth proportional to 8,322.49, 11,486.25 and 5,341.69 is: 7,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.49 : 11,486.25 = 5,341.69 : x
  2. Step 2: Convert to fraction form
    8,322.49/11,486.25 = 5,341.69/x
  3. Step 3: Cross multiply
    8,322.49x = 11,486.25 × 5,341.69
  4. Step 4: Simplify right side
    8,322.49x = 61,355,986.76
  5. Step 5: Solve for x
    x = 61,355,986.76/8,322.49
  6. Step 6: Final answer
    x = 7,372.31

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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.