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Finding the Fourth Proportional to 8,499.20, 12,758.40 and 5,038.40

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Solution

The fourth proportional to 8,499.20, 12,758.40 and 5,038.40 is: 7,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.20 : 12,758.40 = 5,038.40 : x
  2. Step 2: Convert to fraction form
    8,499.20/12,758.40 = 5,038.40/x
  3. Step 3: Cross multiply
    8,499.20x = 12,758.40 × 5,038.40
  4. Step 4: Simplify right side
    8,499.20x = 64,281,922.56
  5. Step 5: Solve for x
    x = 64,281,922.56/8,499.20
  6. Step 6: Final answer
    x = 7,563.29

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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.