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Finding the Fourth Proportional to 7,875.63, 11,814.07 and 2,610.43

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Solution

The fourth proportional to 7,875.63, 11,814.07 and 2,610.43 is: 3,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.63 : 11,814.07 = 2,610.43 : x
  2. Step 2: Convert to fraction form
    7,875.63/11,814.07 = 2,610.43/x
  3. Step 3: Cross multiply
    7,875.63x = 11,814.07 × 2,610.43
  4. Step 4: Simplify right side
    7,875.63x = 30,839,802.75
  5. Step 5: Solve for x
    x = 30,839,802.75/7,875.63
  6. Step 6: Final answer
    x = 3,915.85

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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.