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Finding the Fourth Proportional to 10,444.56, 14,402.34 and 8,541.78

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Solution

The fourth proportional to 10,444.56, 14,402.34 and 8,541.78 is: 11,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.56 : 14,402.34 = 8,541.78 : x
  2. Step 2: Convert to fraction form
    10,444.56/14,402.34 = 8,541.78/x
  3. Step 3: Cross multiply
    10,444.56x = 14,402.34 × 8,541.78
  4. Step 4: Simplify right side
    10,444.56x = 123,021,619.77
  5. Step 5: Solve for x
    x = 123,021,619.77/10,444.56
  6. Step 6: Final answer
    x = 11,778.54

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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.