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Finding the Fourth Proportional to 10,803.24, 14,907.96 and 6,023.70

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Solution

The fourth proportional to 10,803.24, 14,907.96 and 6,023.70 is: 8,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.24 : 14,907.96 = 6,023.70 : x
  2. Step 2: Convert to fraction form
    10,803.24/14,907.96 = 6,023.70/x
  3. Step 3: Cross multiply
    10,803.24x = 14,907.96 × 6,023.70
  4. Step 4: Simplify right side
    10,803.24x = 89,801,078.65
  5. Step 5: Solve for x
    x = 89,801,078.65/10,803.24
  6. Step 6: Final answer
    x = 8,312.42

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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.