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Finding the Fourth Proportional to 8,446.65, 11,592.03 and 7,775.97

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Solution

The fourth proportional to 8,446.65, 11,592.03 and 7,775.97 is: 10,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.65 : 11,592.03 = 7,775.97 : x
  2. Step 2: Convert to fraction form
    8,446.65/11,592.03 = 7,775.97/x
  3. Step 3: Cross multiply
    8,446.65x = 11,592.03 × 7,775.97
  4. Step 4: Simplify right side
    8,446.65x = 90,139,277.52
  5. Step 5: Solve for x
    x = 90,139,277.52/8,446.65
  6. Step 6: Final answer
    x = 10,671.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.