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Finding the Fourth Proportional to 7,186.40, 9,918.16 and 4,042.56

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Solution

The fourth proportional to 7,186.40, 9,918.16 and 4,042.56 is: 5,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.40 : 9,918.16 = 4,042.56 : x
  2. Step 2: Convert to fraction form
    7,186.40/9,918.16 = 4,042.56/x
  3. Step 3: Cross multiply
    7,186.40x = 9,918.16 × 4,042.56
  4. Step 4: Simplify right side
    7,186.40x = 40,094,756.89
  5. Step 5: Solve for x
    x = 40,094,756.89/7,186.40
  6. Step 6: Final answer
    x = 5,579.25

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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.