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Finding the Fourth Proportional to 7,954.36, 10,971.48 and 6,462.28

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Solution

The fourth proportional to 7,954.36, 10,971.48 and 6,462.28 is: 8,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.36 : 10,971.48 = 6,462.28 : x
  2. Step 2: Convert to fraction form
    7,954.36/10,971.48 = 6,462.28/x
  3. Step 3: Cross multiply
    7,954.36x = 10,971.48 × 6,462.28
  4. Step 4: Simplify right side
    7,954.36x = 70,900,775.77
  5. Step 5: Solve for x
    x = 70,900,775.77/7,954.36
  6. Step 6: Final answer
    x = 8,913.45

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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.