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Finding the Fourth Proportional to 10,670.40, 15,999.60 and 4,096.80

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Solution

The fourth proportional to 10,670.40, 15,999.60 and 4,096.80 is: 6,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.40 : 15,999.60 = 4,096.80 : x
  2. Step 2: Convert to fraction form
    10,670.40/15,999.60 = 4,096.80/x
  3. Step 3: Cross multiply
    10,670.40x = 15,999.60 × 4,096.80
  4. Step 4: Simplify right side
    10,670.40x = 65,547,161.28
  5. Step 5: Solve for x
    x = 65,547,161.28/10,670.40
  6. Step 6: Final answer
    x = 6,142.90

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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.