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Finding the Fourth Proportional to 10,805.25, 14,911.29 and 6,089.61

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Solution

The fourth proportional to 10,805.25, 14,911.29 and 6,089.61 is: 8,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.25 : 14,911.29 = 6,089.61 : x
  2. Step 2: Convert to fraction form
    10,805.25/14,911.29 = 6,089.61/x
  3. Step 3: Cross multiply
    10,805.25x = 14,911.29 × 6,089.61
  4. Step 4: Simplify right side
    10,805.25x = 90,803,940.70
  5. Step 5: Solve for x
    x = 90,803,940.70/10,805.25
  6. Step 6: Final answer
    x = 8,403.69

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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.