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Finding the Fourth Proportional to 7,000.40, 10,492.56 and 3,096.80

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Solution

The fourth proportional to 7,000.40, 10,492.56 and 3,096.80 is: 4,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.40 : 10,492.56 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    7,000.40/10,492.56 = 3,096.80/x
  3. Step 3: Cross multiply
    7,000.40x = 10,492.56 × 3,096.80
  4. Step 4: Simplify right side
    7,000.40x = 32,493,359.81
  5. Step 5: Solve for x
    x = 32,493,359.81/7,000.40
  6. Step 6: Final answer
    x = 4,641.64

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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.