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Finding the Fourth Proportional to 7,227.40, 10,826.70 and 5,038.60

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Solution

The fourth proportional to 7,227.40, 10,826.70 and 5,038.60 is: 7,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.40 : 10,826.70 = 5,038.60 : x
  2. Step 2: Convert to fraction form
    7,227.40/10,826.70 = 5,038.60/x
  3. Step 3: Cross multiply
    7,227.40x = 10,826.70 × 5,038.60
  4. Step 4: Simplify right side
    7,227.40x = 54,551,410.62
  5. Step 5: Solve for x
    x = 54,551,410.62/7,227.40
  6. Step 6: Final answer
    x = 7,547.86

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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.