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Finding the Fourth Proportional to 10,643.94, 15,965.92 and 2,852.56

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Solution

The fourth proportional to 10,643.94, 15,965.92 and 2,852.56 is: 4,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.94 : 15,965.92 = 2,852.56 : x
  2. Step 2: Convert to fraction form
    10,643.94/15,965.92 = 2,852.56/x
  3. Step 3: Cross multiply
    10,643.94x = 15,965.92 × 2,852.56
  4. Step 4: Simplify right side
    10,643.94x = 45,543,744.76
  5. Step 5: Solve for x
    x = 45,543,744.76/10,643.94
  6. Step 6: Final answer
    x = 4,278.84

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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.