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Finding the Fourth Proportional to 10,493.82, 15,733.89 and 4,869.18

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Solution

The fourth proportional to 10,493.82, 15,733.89 and 4,869.18 is: 7,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.82 : 15,733.89 = 4,869.18 : x
  2. Step 2: Convert to fraction form
    10,493.82/15,733.89 = 4,869.18/x
  3. Step 3: Cross multiply
    10,493.82x = 15,733.89 × 4,869.18
  4. Step 4: Simplify right side
    10,493.82x = 76,611,142.51
  5. Step 5: Solve for x
    x = 76,611,142.51/10,493.82
  6. Step 6: Final answer
    x = 7,300.60

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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.