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Finding the Fourth Proportional to 10,583.14, 15,860.78 and 5,905.35

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Solution

The fourth proportional to 10,583.14, 15,860.78 and 5,905.35 is: 8,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.14 : 15,860.78 = 5,905.35 : x
  2. Step 2: Convert to fraction form
    10,583.14/15,860.78 = 5,905.35/x
  3. Step 3: Cross multiply
    10,583.14x = 15,860.78 × 5,905.35
  4. Step 4: Simplify right side
    10,583.14x = 93,663,471.94
  5. Step 5: Solve for x
    x = 93,663,471.94/10,583.14
  6. Step 6: Final answer
    x = 8,850.26

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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.