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Finding the Fourth Proportional to 10,805.40, 14,911.02 and 6,090.66

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Solution

The fourth proportional to 10,805.40, 14,911.02 and 6,090.66 is: 8,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.40 : 14,911.02 = 6,090.66 : x
  2. Step 2: Convert to fraction form
    10,805.40/14,911.02 = 6,090.66/x
  3. Step 3: Cross multiply
    10,805.40x = 14,911.02 × 6,090.66
  4. Step 4: Simplify right side
    10,805.40x = 90,817,953.07
  5. Step 5: Solve for x
    x = 90,817,953.07/10,805.40
  6. Step 6: Final answer
    x = 8,404.87

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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.