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Finding the Fourth Proportional to 7,219.40, 10,829.10 and 6,787.40

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Solution

The fourth proportional to 7,219.40, 10,829.10 and 6,787.40 is: 10,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.40 : 10,829.10 = 6,787.40 : x
  2. Step 2: Convert to fraction form
    7,219.40/10,829.10 = 6,787.40/x
  3. Step 3: Cross multiply
    7,219.40x = 10,829.10 × 6,787.40
  4. Step 4: Simplify right side
    7,219.40x = 73,501,433.34
  5. Step 5: Solve for x
    x = 73,501,433.34/7,219.40
  6. Step 6: Final answer
    x = 10,181.10

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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.