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Finding the Fourth Proportional to 8,654.52, 11,938.74 and 5,111.58

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Solution

The fourth proportional to 8,654.52, 11,938.74 and 5,111.58 is: 7,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.52 : 11,938.74 = 5,111.58 : x
  2. Step 2: Convert to fraction form
    8,654.52/11,938.74 = 5,111.58/x
  3. Step 3: Cross multiply
    8,654.52x = 11,938.74 × 5,111.58
  4. Step 4: Simplify right side
    8,654.52x = 61,025,824.61
  5. Step 5: Solve for x
    x = 61,025,824.61/8,654.52
  6. Step 6: Final answer
    x = 7,051.32

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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.