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Finding the Fourth Proportional to 11,775.97, 16,250.51 and 6,470.78

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Solution

The fourth proportional to 11,775.97, 16,250.51 and 6,470.78 is: 8,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.97 : 16,250.51 = 6,470.78 : x
  2. Step 2: Convert to fraction form
    11,775.97/16,250.51 = 6,470.78/x
  3. Step 3: Cross multiply
    11,775.97x = 16,250.51 × 6,470.78
  4. Step 4: Simplify right side
    11,775.97x = 105,153,442.74
  5. Step 5: Solve for x
    x = 105,153,442.74/11,775.97
  6. Step 6: Final answer
    x = 8,929.50

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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.