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Finding the Fourth Proportional to 10,546.56, 15,791.76 and 9,218.16

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Solution

The fourth proportional to 10,546.56, 15,791.76 and 9,218.16 is: 13,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.56 : 15,791.76 = 9,218.16 : x
  2. Step 2: Convert to fraction form
    10,546.56/15,791.76 = 9,218.16/x
  3. Step 3: Cross multiply
    10,546.56x = 15,791.76 × 9,218.16
  4. Step 4: Simplify right side
    10,546.56x = 145,570,970.36
  5. Step 5: Solve for x
    x = 145,570,970.36/10,546.56
  6. Step 6: Final answer
    x = 13,802.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.