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Finding the Fourth Proportional to 10,025.26, 15,029.43 and 6,319.32

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Solution

The fourth proportional to 10,025.26, 15,029.43 and 6,319.32 is: 9,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.26 : 15,029.43 = 6,319.32 : x
  2. Step 2: Convert to fraction form
    10,025.26/15,029.43 = 6,319.32/x
  3. Step 3: Cross multiply
    10,025.26x = 15,029.43 × 6,319.32
  4. Step 4: Simplify right side
    10,025.26x = 94,975,777.30
  5. Step 5: Solve for x
    x = 94,975,777.30/10,025.26
  6. Step 6: Final answer
    x = 9,473.65

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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.