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Finding the Fourth Proportional to 15,383.54, 23,060.72 and 4,988

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Solution

The fourth proportional to 15,383.54, 23,060.72 and 4,988 is: 7,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.54 : 23,060.72 = 4,988 : x
  2. Step 2: Convert to fraction form
    15,383.54/23,060.72 = 4,988/x
  3. Step 3: Cross multiply
    15,383.54x = 23,060.72 × 4,988
  4. Step 4: Simplify right side
    15,383.54x = 115,026,871.36
  5. Step 5: Solve for x
    x = 115,026,871.36/15,383.54
  6. Step 6: Final answer
    x = 7,477.27

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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.