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Finding the Fourth Proportional to 8,053.04, 11,115.42 and 5,258

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Solution

The fourth proportional to 8,053.04, 11,115.42 and 5,258 is: 7,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.04 : 11,115.42 = 5,258 : x
  2. Step 2: Convert to fraction form
    8,053.04/11,115.42 = 5,258/x
  3. Step 3: Cross multiply
    8,053.04x = 11,115.42 × 5,258
  4. Step 4: Simplify right side
    8,053.04x = 58,444,878.36
  5. Step 5: Solve for x
    x = 58,444,878.36/8,053.04
  6. Step 6: Final answer
    x = 7,257.49

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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.