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Finding the Fourth Proportional to 8,441.15, 11,642.13 and 7,875.25

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Solution

The fourth proportional to 8,441.15, 11,642.13 and 7,875.25 is: 10,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.15 : 11,642.13 = 7,875.25 : x
  2. Step 2: Convert to fraction form
    8,441.15/11,642.13 = 7,875.25/x
  3. Step 3: Cross multiply
    8,441.15x = 11,642.13 × 7,875.25
  4. Step 4: Simplify right side
    8,441.15x = 91,684,655.18
  5. Step 5: Solve for x
    x = 91,684,655.18/8,441.15
  6. Step 6: Final answer
    x = 10,861.64

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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.