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Finding the Fourth Proportional to 10,742.73, 16,041.75 and 8,772.21

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Solution

The fourth proportional to 10,742.73, 16,041.75 and 8,772.21 is: 13,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.73 : 16,041.75 = 8,772.21 : x
  2. Step 2: Convert to fraction form
    10,742.73/16,041.75 = 8,772.21/x
  3. Step 3: Cross multiply
    10,742.73x = 16,041.75 × 8,772.21
  4. Step 4: Simplify right side
    10,742.73x = 140,721,599.77
  5. Step 5: Solve for x
    x = 140,721,599.77/10,742.73
  6. Step 6: Final answer
    x = 13,099.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.