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Finding the Fourth Proportional to 8,503.29, 12,744.13 and 4,807.59

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Solution

The fourth proportional to 8,503.29, 12,744.13 and 4,807.59 is: 7,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.29 : 12,744.13 = 4,807.59 : x
  2. Step 2: Convert to fraction form
    8,503.29/12,744.13 = 4,807.59/x
  3. Step 3: Cross multiply
    8,503.29x = 12,744.13 × 4,807.59
  4. Step 4: Simplify right side
    8,503.29x = 61,268,551.95
  5. Step 5: Solve for x
    x = 61,268,551.95/8,503.29
  6. Step 6: Final answer
    x = 7,205.28

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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.