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Finding the Fourth Proportional to 8,731.80, 13,114.50 and 7,485.24

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Solution

The fourth proportional to 8,731.80, 13,114.50 and 7,485.24 is: 11,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.80 : 13,114.50 = 7,485.24 : x
  2. Step 2: Convert to fraction form
    8,731.80/13,114.50 = 7,485.24/x
  3. Step 3: Cross multiply
    8,731.80x = 13,114.50 × 7,485.24
  4. Step 4: Simplify right side
    8,731.80x = 98,165,179.98
  5. Step 5: Solve for x
    x = 98,165,179.98/8,731.80
  6. Step 6: Final answer
    x = 11,242.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.