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Finding the Fourth Proportional to 10,480.55, 15,718.38 and 3,083.03

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Solution

The fourth proportional to 10,480.55, 15,718.38 and 3,083.03 is: 4,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.55 : 15,718.38 = 3,083.03 : x
  2. Step 2: Convert to fraction form
    10,480.55/15,718.38 = 3,083.03/x
  3. Step 3: Cross multiply
    10,480.55x = 15,718.38 × 3,083.03
  4. Step 4: Simplify right side
    10,480.55x = 48,460,158.50
  5. Step 5: Solve for x
    x = 48,460,158.50/10,480.55
  6. Step 6: Final answer
    x = 4,623.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.