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Finding the Fourth Proportional to 10,805.26, 14,914.03 and 7,037.81

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Solution

The fourth proportional to 10,805.26, 14,914.03 and 7,037.81 is: 9,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.26 : 14,914.03 = 7,037.81 : x
  2. Step 2: Convert to fraction form
    10,805.26/14,914.03 = 7,037.81/x
  3. Step 3: Cross multiply
    10,805.26x = 14,914.03 × 7,037.81
  4. Step 4: Simplify right side
    10,805.26x = 104,962,109.47
  5. Step 5: Solve for x
    x = 104,962,109.47/10,805.26
  6. Step 6: Final answer
    x = 9,713.98

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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.