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Finding the Fourth Proportional to 10,805.87, 14,909.49 and 6,090.15

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Solution

The fourth proportional to 10,805.87, 14,909.49 and 6,090.15 is: 8,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.87 : 14,909.49 = 6,090.15 : x
  2. Step 2: Convert to fraction form
    10,805.87/14,909.49 = 6,090.15/x
  3. Step 3: Cross multiply
    10,805.87x = 14,909.49 × 6,090.15
  4. Step 4: Simplify right side
    10,805.87x = 90,801,030.52
  5. Step 5: Solve for x
    x = 90,801,030.52/10,805.87
  6. Step 6: Final answer
    x = 8,402.94

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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.