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Finding the Fourth Proportional to 10,059.81, 15,084.64 and 3,484.23

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Solution

The fourth proportional to 10,059.81, 15,084.64 and 3,484.23 is: 5,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.81 : 15,084.64 = 3,484.23 : x
  2. Step 2: Convert to fraction form
    10,059.81/15,084.64 = 3,484.23/x
  3. Step 3: Cross multiply
    10,059.81x = 15,084.64 × 3,484.23
  4. Step 4: Simplify right side
    10,059.81x = 52,558,355.23
  5. Step 5: Solve for x
    x = 52,558,355.23/10,059.81
  6. Step 6: Final answer
    x = 5,224.59

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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.