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Finding the Fourth Proportional to 10,434.88, 15,652.84 and 2,643.76

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Solution

The fourth proportional to 10,434.88, 15,652.84 and 2,643.76 is: 3,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.88 : 15,652.84 = 2,643.76 : x
  2. Step 2: Convert to fraction form
    10,434.88/15,652.84 = 2,643.76/x
  3. Step 3: Cross multiply
    10,434.88x = 15,652.84 × 2,643.76
  4. Step 4: Simplify right side
    10,434.88x = 41,382,352.28
  5. Step 5: Solve for x
    x = 41,382,352.28/10,434.88
  6. Step 6: Final answer
    x = 3,965.77

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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.