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Finding the Fourth Proportional to 10,833.90, 14,940.12 and 6,585.54

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Solution

The fourth proportional to 10,833.90, 14,940.12 and 6,585.54 is: 9,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.90 : 14,940.12 = 6,585.54 : x
  2. Step 2: Convert to fraction form
    10,833.90/14,940.12 = 6,585.54/x
  3. Step 3: Cross multiply
    10,833.90x = 14,940.12 × 6,585.54
  4. Step 4: Simplify right side
    10,833.90x = 98,388,757.86
  5. Step 5: Solve for x
    x = 98,388,757.86/10,833.90
  6. Step 6: Final answer
    x = 9,081.56

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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.