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Finding the Fourth Proportional to 7,836.58, 11,673.42 and 7,412.17

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Solution

The fourth proportional to 7,836.58, 11,673.42 and 7,412.17 is: 11,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.58 : 11,673.42 = 7,412.17 : x
  2. Step 2: Convert to fraction form
    7,836.58/11,673.42 = 7,412.17/x
  3. Step 3: Cross multiply
    7,836.58x = 11,673.42 × 7,412.17
  4. Step 4: Simplify right side
    7,836.58x = 86,525,333.68
  5. Step 5: Solve for x
    x = 86,525,333.68/7,836.58
  6. Step 6: Final answer
    x = 11,041.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.