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Finding the Fourth Proportional to 7,805.13, 10,771.12 and 5,010.63

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Solution

The fourth proportional to 7,805.13, 10,771.12 and 5,010.63 is: 6,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.13 : 10,771.12 = 5,010.63 : x
  2. Step 2: Convert to fraction form
    7,805.13/10,771.12 = 5,010.63/x
  3. Step 3: Cross multiply
    7,805.13x = 10,771.12 × 5,010.63
  4. Step 4: Simplify right side
    7,805.13x = 53,970,097.01
  5. Step 5: Solve for x
    x = 53,970,097.01/7,805.13
  6. Step 6: Final answer
    x = 6,914.70

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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.