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Finding the Fourth Proportional to 8,441.88, 11,643.15 and 7,875.99

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Solution

The fourth proportional to 8,441.88, 11,643.15 and 7,875.99 is: 10,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.88 : 11,643.15 = 7,875.99 : x
  2. Step 2: Convert to fraction form
    8,441.88/11,643.15 = 7,875.99/x
  3. Step 3: Cross multiply
    8,441.88x = 11,643.15 × 7,875.99
  4. Step 4: Simplify right side
    8,441.88x = 91,701,332.97
  5. Step 5: Solve for x
    x = 91,701,332.97/8,441.88
  6. Step 6: Final answer
    x = 10,862.67

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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.