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Finding the Fourth Proportional to 10,010.69, 13,814.60 and 6,034

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Solution

The fourth proportional to 10,010.69, 13,814.60 and 6,034 is: 8,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.69 : 13,814.60 = 6,034 : x
  2. Step 2: Convert to fraction form
    10,010.69/13,814.60 = 6,034/x
  3. Step 3: Cross multiply
    10,010.69x = 13,814.60 × 6,034
  4. Step 4: Simplify right side
    10,010.69x = 83,357,296.40
  5. Step 5: Solve for x
    x = 83,357,296.40/10,010.69
  6. Step 6: Final answer
    x = 8,326.83

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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.