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Finding the Fourth Proportional to 10,597.44, 15,910.76 and 5,406.96

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Solution

The fourth proportional to 10,597.44, 15,910.76 and 5,406.96 is: 8,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.44 : 15,910.76 = 5,406.96 : x
  2. Step 2: Convert to fraction form
    10,597.44/15,910.76 = 5,406.96/x
  3. Step 3: Cross multiply
    10,597.44x = 15,910.76 × 5,406.96
  4. Step 4: Simplify right side
    10,597.44x = 86,028,842.89
  5. Step 5: Solve for x
    x = 86,028,842.89/10,597.44
  6. Step 6: Final answer
    x = 8,117.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.