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Finding the Fourth Proportional to 7,277.48, 10,042.09 and 4,090.13

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Solution

The fourth proportional to 7,277.48, 10,042.09 and 4,090.13 is: 5,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.48 : 10,042.09 = 4,090.13 : x
  2. Step 2: Convert to fraction form
    7,277.48/10,042.09 = 4,090.13/x
  3. Step 3: Cross multiply
    7,277.48x = 10,042.09 × 4,090.13
  4. Step 4: Simplify right side
    7,277.48x = 41,073,393.14
  5. Step 5: Solve for x
    x = 41,073,393.14/7,277.48
  6. Step 6: Final answer
    x = 5,643.91

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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.