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Finding the Fourth Proportional to 8,712.50, 13,036.45 and 5,204.41

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Solution

The fourth proportional to 8,712.50, 13,036.45 and 5,204.41 is: 7,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.50 : 13,036.45 = 5,204.41 : x
  2. Step 2: Convert to fraction form
    8,712.50/13,036.45 = 5,204.41/x
  3. Step 3: Cross multiply
    8,712.50x = 13,036.45 × 5,204.41
  4. Step 4: Simplify right side
    8,712.50x = 67,846,985.14
  5. Step 5: Solve for x
    x = 67,846,985.14/8,712.50
  6. Step 6: Final answer
    x = 7,787.32

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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.