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Finding the Fourth Proportional to 7,914.88, 11,875.20 and 3,756.16

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Solution

The fourth proportional to 7,914.88, 11,875.20 and 3,756.16 is: 5,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.88 : 11,875.20 = 3,756.16 : x
  2. Step 2: Convert to fraction form
    7,914.88/11,875.20 = 3,756.16/x
  3. Step 3: Cross multiply
    7,914.88x = 11,875.20 × 3,756.16
  4. Step 4: Simplify right side
    7,914.88x = 44,605,151.23
  5. Step 5: Solve for x
    x = 44,605,151.23/7,914.88
  6. Step 6: Final answer
    x = 5,635.61

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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.