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Finding the Fourth Proportional to 10,555.29, 15,825.12 and 6,394.32

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Solution

The fourth proportional to 10,555.29, 15,825.12 and 6,394.32 is: 9,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.29 : 15,825.12 = 6,394.32 : x
  2. Step 2: Convert to fraction form
    10,555.29/15,825.12 = 6,394.32/x
  3. Step 3: Cross multiply
    10,555.29x = 15,825.12 × 6,394.32
  4. Step 4: Simplify right side
    10,555.29x = 101,190,881.32
  5. Step 5: Solve for x
    x = 101,190,881.32/10,555.29
  6. Step 6: Final answer
    x = 9,586.75

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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.