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Finding the Fourth Proportional to 11,780.44, 16,256.22 and 6,475

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Solution

The fourth proportional to 11,780.44, 16,256.22 and 6,475 is: 8,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.44 : 16,256.22 = 6,475 : x
  2. Step 2: Convert to fraction form
    11,780.44/16,256.22 = 6,475/x
  3. Step 3: Cross multiply
    11,780.44x = 16,256.22 × 6,475
  4. Step 4: Simplify right side
    11,780.44x = 105,259,024.50
  5. Step 5: Solve for x
    x = 105,259,024.50/11,780.44
  6. Step 6: Final answer
    x = 8,935.07

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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.