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Finding the Fourth Proportional to 7,544.32, 10,411.12 and 4,187.14

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Solution

The fourth proportional to 7,544.32, 10,411.12 and 4,187.14 is: 5,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.32 : 10,411.12 = 4,187.14 : x
  2. Step 2: Convert to fraction form
    7,544.32/10,411.12 = 4,187.14/x
  3. Step 3: Cross multiply
    7,544.32x = 10,411.12 × 4,187.14
  4. Step 4: Simplify right side
    7,544.32x = 43,592,817.00
  5. Step 5: Solve for x
    x = 43,592,817.00/7,544.32
  6. Step 6: Final answer
    x = 5,778.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.