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Finding the Fourth Proportional to 10,382.01, 15,580.49 and 4,138.41

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Solution

The fourth proportional to 10,382.01, 15,580.49 and 4,138.41 is: 6,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.01 : 15,580.49 = 4,138.41 : x
  2. Step 2: Convert to fraction form
    10,382.01/15,580.49 = 4,138.41/x
  3. Step 3: Cross multiply
    10,382.01x = 15,580.49 × 4,138.41
  4. Step 4: Simplify right side
    10,382.01x = 64,478,455.62
  5. Step 5: Solve for x
    x = 64,478,455.62/10,382.01
  6. Step 6: Final answer
    x = 6,210.59

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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.