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Finding the Fourth Proportional to 10,083.69, 15,124.32 and 3,509.33

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Solution

The fourth proportional to 10,083.69, 15,124.32 and 3,509.33 is: 5,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.69 : 15,124.32 = 3,509.33 : x
  2. Step 2: Convert to fraction form
    10,083.69/15,124.32 = 3,509.33/x
  3. Step 3: Cross multiply
    10,083.69x = 15,124.32 × 3,509.33
  4. Step 4: Simplify right side
    10,083.69x = 53,076,154.28
  5. Step 5: Solve for x
    x = 53,076,154.28/10,083.69
  6. Step 6: Final answer
    x = 5,263.56

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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.