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Finding the Fourth Proportional to 10,220.64, 15,316.44 and 7,871.76

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Solution

The fourth proportional to 10,220.64, 15,316.44 and 7,871.76 is: 11,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.64 : 15,316.44 = 7,871.76 : x
  2. Step 2: Convert to fraction form
    10,220.64/15,316.44 = 7,871.76/x
  3. Step 3: Cross multiply
    10,220.64x = 15,316.44 × 7,871.76
  4. Step 4: Simplify right side
    10,220.64x = 120,567,339.73
  5. Step 5: Solve for x
    x = 120,567,339.73/10,220.64
  6. Step 6: Final answer
    x = 11,796.46

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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.