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Finding the Fourth Proportional to 10,542.14, 14,549.01 and 5,826.50

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Solution

The fourth proportional to 10,542.14, 14,549.01 and 5,826.50 is: 8,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.14 : 14,549.01 = 5,826.50 : x
  2. Step 2: Convert to fraction form
    10,542.14/14,549.01 = 5,826.50/x
  3. Step 3: Cross multiply
    10,542.14x = 14,549.01 × 5,826.50
  4. Step 4: Simplify right side
    10,542.14x = 84,769,806.77
  5. Step 5: Solve for x
    x = 84,769,806.77/10,542.14
  6. Step 6: Final answer
    x = 8,041.04

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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.