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Finding the Fourth Proportional to 11,238.46, 15,506.38 and 7,258.89

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Solution

The fourth proportional to 11,238.46, 15,506.38 and 7,258.89 is: 10,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.46 : 15,506.38 = 7,258.89 : x
  2. Step 2: Convert to fraction form
    11,238.46/15,506.38 = 7,258.89/x
  3. Step 3: Cross multiply
    11,238.46x = 15,506.38 × 7,258.89
  4. Step 4: Simplify right side
    11,238.46x = 112,559,106.72
  5. Step 5: Solve for x
    x = 112,559,106.72/11,238.46
  6. Step 6: Final answer
    x = 10,015.53

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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.