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Finding the Fourth Proportional to 13,258.38, 18,296.64 and 7,290.44

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Solution

The fourth proportional to 13,258.38, 18,296.64 and 7,290.44 is: 10,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.38 : 18,296.64 = 7,290.44 : x
  2. Step 2: Convert to fraction form
    13,258.38/18,296.64 = 7,290.44/x
  3. Step 3: Cross multiply
    13,258.38x = 18,296.64 × 7,290.44
  4. Step 4: Simplify right side
    13,258.38x = 133,390,446.41
  5. Step 5: Solve for x
    x = 133,390,446.41/13,258.38
  6. Step 6: Final answer
    x = 10,060.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.