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Finding the Fourth Proportional to 10,814.03, 14,926.09 and 6,101.05

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Solution

The fourth proportional to 10,814.03, 14,926.09 and 6,101.05 is: 8,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.03 : 14,926.09 = 6,101.05 : x
  2. Step 2: Convert to fraction form
    10,814.03/14,926.09 = 6,101.05/x
  3. Step 3: Cross multiply
    10,814.03x = 14,926.09 × 6,101.05
  4. Step 4: Simplify right side
    10,814.03x = 91,064,768.83
  5. Step 5: Solve for x
    x = 91,064,768.83/10,814.03
  6. Step 6: Final answer
    x = 8,420.98

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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.