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Finding the Fourth Proportional to 11,555.10, 15,947.10 and 6,451.50

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Solution

The fourth proportional to 11,555.10, 15,947.10 and 6,451.50 is: 8,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.10 : 15,947.10 = 6,451.50 : x
  2. Step 2: Convert to fraction form
    11,555.10/15,947.10 = 6,451.50/x
  3. Step 3: Cross multiply
    11,555.10x = 15,947.10 × 6,451.50
  4. Step 4: Simplify right side
    11,555.10x = 102,882,715.65
  5. Step 5: Solve for x
    x = 102,882,715.65/11,555.10
  6. Step 6: Final answer
    x = 8,903.66

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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.