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Finding the Fourth Proportional to 7,952.12, 10,973.76 and 4,415.12

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Solution

The fourth proportional to 7,952.12, 10,973.76 and 4,415.12 is: 6,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.12 : 10,973.76 = 4,415.12 : x
  2. Step 2: Convert to fraction form
    7,952.12/10,973.76 = 4,415.12/x
  3. Step 3: Cross multiply
    7,952.12x = 10,973.76 × 4,415.12
  4. Step 4: Simplify right side
    7,952.12x = 48,450,467.25
  5. Step 5: Solve for x
    x = 48,450,467.25/7,952.12
  6. Step 6: Final answer
    x = 6,092.77

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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.