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Finding the Fourth Proportional to 8,305.90, 11,461.57 and 4,672.50

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Solution

The fourth proportional to 8,305.90, 11,461.57 and 4,672.50 is: 6,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.90 : 11,461.57 = 4,672.50 : x
  2. Step 2: Convert to fraction form
    8,305.90/11,461.57 = 4,672.50/x
  3. Step 3: Cross multiply
    8,305.90x = 11,461.57 × 4,672.50
  4. Step 4: Simplify right side
    8,305.90x = 53,554,131.16
  5. Step 5: Solve for x
    x = 53,554,131.16/8,305.90
  6. Step 6: Final answer
    x = 6,447.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.