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Finding the Fourth Proportional to 7,155.42, 10,736.21 and 3,460.41

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Solution

The fourth proportional to 7,155.42, 10,736.21 and 3,460.41 is: 5,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.42 : 10,736.21 = 3,460.41 : x
  2. Step 2: Convert to fraction form
    7,155.42/10,736.21 = 3,460.41/x
  3. Step 3: Cross multiply
    7,155.42x = 10,736.21 × 3,460.41
  4. Step 4: Simplify right side
    7,155.42x = 37,151,671.14
  5. Step 5: Solve for x
    x = 37,151,671.14/7,155.42
  6. Step 6: Final answer
    x = 5,192.10

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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.