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Finding the Fourth Proportional to 10,270.32, 15,391.08 and 8,083.32

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Solution

The fourth proportional to 10,270.32, 15,391.08 and 8,083.32 is: 12,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.32 : 15,391.08 = 8,083.32 : x
  2. Step 2: Convert to fraction form
    10,270.32/15,391.08 = 8,083.32/x
  3. Step 3: Cross multiply
    10,270.32x = 15,391.08 × 8,083.32
  4. Step 4: Simplify right side
    10,270.32x = 124,411,024.79
  5. Step 5: Solve for x
    x = 124,411,024.79/10,270.32
  6. Step 6: Final answer
    x = 12,113.65

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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.