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Finding the Fourth Proportional to 7,038.50, 9,711.87 and 4,519.80

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Solution

The fourth proportional to 7,038.50, 9,711.87 and 4,519.80 is: 6,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.50 : 9,711.87 = 4,519.80 : x
  2. Step 2: Convert to fraction form
    7,038.50/9,711.87 = 4,519.80/x
  3. Step 3: Cross multiply
    7,038.50x = 9,711.87 × 4,519.80
  4. Step 4: Simplify right side
    7,038.50x = 43,895,731.21
  5. Step 5: Solve for x
    x = 43,895,731.21/7,038.50
  6. Step 6: Final answer
    x = 6,236.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.