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Finding the Fourth Proportional to 7,116, 10,673.97 and 4,212.75

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Solution

The fourth proportional to 7,116, 10,673.97 and 4,212.75 is: 6,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 10,673.97 = 4,212.75 : x
  2. Step 2: Convert to fraction form
    7,116/10,673.97 = 4,212.75/x
  3. Step 3: Cross multiply
    7,116x = 10,673.97 × 4,212.75
  4. Step 4: Simplify right side
    7,116x = 44,966,767.12
  5. Step 5: Solve for x
    x = 44,966,767.12/7,116
  6. Step 6: Final answer
    x = 6,319.11

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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.