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Finding the Fourth Proportional to 8,977.46, 13,447.83 and 7,317.50

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Solution

The fourth proportional to 8,977.46, 13,447.83 and 7,317.50 is: 10,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.46 : 13,447.83 = 7,317.50 : x
  2. Step 2: Convert to fraction form
    8,977.46/13,447.83 = 7,317.50/x
  3. Step 3: Cross multiply
    8,977.46x = 13,447.83 × 7,317.50
  4. Step 4: Simplify right side
    8,977.46x = 98,404,496.03
  5. Step 5: Solve for x
    x = 98,404,496.03/8,977.46
  6. Step 6: Final answer
    x = 10,961.28

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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.