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Finding the Fourth Proportional to 8,952.68, 13,431.36 and 5,258

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Solution

The fourth proportional to 8,952.68, 13,431.36 and 5,258 is: 7,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.68 : 13,431.36 = 5,258 : x
  2. Step 2: Convert to fraction form
    8,952.68/13,431.36 = 5,258/x
  3. Step 3: Cross multiply
    8,952.68x = 13,431.36 × 5,258
  4. Step 4: Simplify right side
    8,952.68x = 70,622,090.88
  5. Step 5: Solve for x
    x = 70,622,090.88/8,952.68
  6. Step 6: Final answer
    x = 7,888.37

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Why These Related Problems?

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