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Finding the Fourth Proportional to 10,478.46, 15,720.18 and 3,083.16

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Solution

The fourth proportional to 10,478.46, 15,720.18 and 3,083.16 is: 4,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.46 : 15,720.18 = 3,083.16 : x
  2. Step 2: Convert to fraction form
    10,478.46/15,720.18 = 3,083.16/x
  3. Step 3: Cross multiply
    10,478.46x = 15,720.18 × 3,083.16
  4. Step 4: Simplify right side
    10,478.46x = 48,467,830.17
  5. Step 5: Solve for x
    x = 48,467,830.17/10,478.46
  6. Step 6: Final answer
    x = 4,625.47

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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.