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Finding the Fourth Proportional to 7,921.58, 10,932.94 and 4,563.76

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Solution

The fourth proportional to 7,921.58, 10,932.94 and 4,563.76 is: 6,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.58 : 10,932.94 = 4,563.76 : x
  2. Step 2: Convert to fraction form
    7,921.58/10,932.94 = 4,563.76/x
  3. Step 3: Cross multiply
    7,921.58x = 10,932.94 × 4,563.76
  4. Step 4: Simplify right side
    7,921.58x = 49,895,314.25
  5. Step 5: Solve for x
    x = 49,895,314.25/7,921.58
  6. Step 6: Final answer
    x = 6,298.66

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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.