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Finding the Fourth Proportional to 7,875.38, 11,812.16 and 2,609.12

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Solution

The fourth proportional to 7,875.38, 11,812.16 and 2,609.12 is: 3,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.38 : 11,812.16 = 2,609.12 : x
  2. Step 2: Convert to fraction form
    7,875.38/11,812.16 = 2,609.12/x
  3. Step 3: Cross multiply
    7,875.38x = 11,812.16 × 2,609.12
  4. Step 4: Simplify right side
    7,875.38x = 30,819,342.90
  5. Step 5: Solve for x
    x = 30,819,342.90/7,875.38
  6. Step 6: Final answer
    x = 3,913.38

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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.