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Finding the Fourth Proportional to 11,775.84, 16,250.94 and 6,470.61

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Solution

The fourth proportional to 11,775.84, 16,250.94 and 6,470.61 is: 8,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.84 : 16,250.94 = 6,470.61 : x
  2. Step 2: Convert to fraction form
    11,775.84/16,250.94 = 6,470.61/x
  3. Step 3: Cross multiply
    11,775.84x = 16,250.94 × 6,470.61
  4. Step 4: Simplify right side
    11,775.84x = 105,153,494.87
  5. Step 5: Solve for x
    x = 105,153,494.87/11,775.84
  6. Step 6: Final answer
    x = 8,929.60

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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.