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Finding the Fourth Proportional to 11,624.78, 16,045.71 and 7,900.94

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Solution

The fourth proportional to 11,624.78, 16,045.71 and 7,900.94 is: 10,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.78 : 16,045.71 = 7,900.94 : x
  2. Step 2: Convert to fraction form
    11,624.78/16,045.71 = 7,900.94/x
  3. Step 3: Cross multiply
    11,624.78x = 16,045.71 × 7,900.94
  4. Step 4: Simplify right side
    11,624.78x = 126,776,191.97
  5. Step 5: Solve for x
    x = 126,776,191.97/11,624.78
  6. Step 6: Final answer
    x = 10,905.69

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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.