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Finding the Fourth Proportional to 6,669.84, 10,004.68 and 2,971.12

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Solution

The fourth proportional to 6,669.84, 10,004.68 and 2,971.12 is: 4,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.84 : 10,004.68 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    6,669.84/10,004.68 = 2,971.12/x
  3. Step 3: Cross multiply
    6,669.84x = 10,004.68 × 2,971.12
  4. Step 4: Simplify right side
    6,669.84x = 29,725,104.84
  5. Step 5: Solve for x
    x = 29,725,104.84/6,669.84
  6. Step 6: Final answer
    x = 4,456.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.