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Finding the Fourth Proportional to 10,542.54, 14,548.50 and 5,826.84

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Solution

The fourth proportional to 10,542.54, 14,548.50 and 5,826.84 is: 8,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.54 : 14,548.50 = 5,826.84 : x
  2. Step 2: Convert to fraction form
    10,542.54/14,548.50 = 5,826.84/x
  3. Step 3: Cross multiply
    10,542.54x = 14,548.50 × 5,826.84
  4. Step 4: Simplify right side
    10,542.54x = 84,771,781.74
  5. Step 5: Solve for x
    x = 84,771,781.74/10,542.54
  6. Step 6: Final answer
    x = 8,040.93

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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.