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Finding the Fourth Proportional to 8,445.30, 11,654.96 and 5,089.17

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Solution

The fourth proportional to 8,445.30, 11,654.96 and 5,089.17 is: 7,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.30 : 11,654.96 = 5,089.17 : x
  2. Step 2: Convert to fraction form
    8,445.30/11,654.96 = 5,089.17/x
  3. Step 3: Cross multiply
    8,445.30x = 11,654.96 × 5,089.17
  4. Step 4: Simplify right side
    8,445.30x = 59,314,072.78
  5. Step 5: Solve for x
    x = 59,314,072.78/8,445.30
  6. Step 6: Final answer
    x = 7,023.32

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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.