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Finding the Fourth Proportional to 10,461.60, 14,436.84 and 5,745.84

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Solution

The fourth proportional to 10,461.60, 14,436.84 and 5,745.84 is: 7,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.60 : 14,436.84 = 5,745.84 : x
  2. Step 2: Convert to fraction form
    10,461.60/14,436.84 = 5,745.84/x
  3. Step 3: Cross multiply
    10,461.60x = 14,436.84 × 5,745.84
  4. Step 4: Simplify right side
    10,461.60x = 82,951,772.75
  5. Step 5: Solve for x
    x = 82,951,772.75/10,461.60
  6. Step 6: Final answer
    x = 7,929.17

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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.