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Finding the Fourth Proportional to 10,953.87, 16,419.03 and 5,683.59

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Solution

The fourth proportional to 10,953.87, 16,419.03 and 5,683.59 is: 8,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.87 : 16,419.03 = 5,683.59 : x
  2. Step 2: Convert to fraction form
    10,953.87/16,419.03 = 5,683.59/x
  3. Step 3: Cross multiply
    10,953.87x = 16,419.03 × 5,683.59
  4. Step 4: Simplify right side
    10,953.87x = 93,319,034.72
  5. Step 5: Solve for x
    x = 93,319,034.72/10,953.87
  6. Step 6: Final answer
    x = 8,519.28

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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.