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Finding the Fourth Proportional to 10,602.72, 15,906.14 and 4,033.53

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Solution

The fourth proportional to 10,602.72, 15,906.14 and 4,033.53 is: 6,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.72 : 15,906.14 = 4,033.53 : x
  2. Step 2: Convert to fraction form
    10,602.72/15,906.14 = 4,033.53/x
  3. Step 3: Cross multiply
    10,602.72x = 15,906.14 × 4,033.53
  4. Step 4: Simplify right side
    10,602.72x = 64,157,872.71
  5. Step 5: Solve for x
    x = 64,157,872.71/10,602.72
  6. Step 6: Final answer
    x = 6,051.08

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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.