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Finding the Fourth Proportional to 10,077.50, 13,904.73 and 5,828.54

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Solution

The fourth proportional to 10,077.50, 13,904.73 and 5,828.54 is: 8,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.50 : 13,904.73 = 5,828.54 : x
  2. Step 2: Convert to fraction form
    10,077.50/13,904.73 = 5,828.54/x
  3. Step 3: Cross multiply
    10,077.50x = 13,904.73 × 5,828.54
  4. Step 4: Simplify right side
    10,077.50x = 81,044,274.99
  5. Step 5: Solve for x
    x = 81,044,274.99/10,077.50
  6. Step 6: Final answer
    x = 8,042.10

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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.