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Finding the Fourth Proportional to 7,511.40, 10,365.68 and 4,199.40

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Solution

The fourth proportional to 7,511.40, 10,365.68 and 4,199.40 is: 5,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.40 : 10,365.68 = 4,199.40 : x
  2. Step 2: Convert to fraction form
    7,511.40/10,365.68 = 4,199.40/x
  3. Step 3: Cross multiply
    7,511.40x = 10,365.68 × 4,199.40
  4. Step 4: Simplify right side
    7,511.40x = 43,529,636.59
  5. Step 5: Solve for x
    x = 43,529,636.59/7,511.40
  6. Step 6: Final answer
    x = 5,795.14

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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.