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Finding the Fourth Proportional to 27,410.39, 41,118.16 and 7,688.86

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Solution

The fourth proportional to 27,410.39, 41,118.16 and 7,688.86 is: 11,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.39 : 41,118.16 = 7,688.86 : x
  2. Step 2: Convert to fraction form
    27,410.39/41,118.16 = 7,688.86/x
  3. Step 3: Cross multiply
    27,410.39x = 41,118.16 × 7,688.86
  4. Step 4: Simplify right side
    27,410.39x = 316,151,775.70
  5. Step 5: Solve for x
    x = 316,151,775.70/27,410.39
  6. Step 6: Final answer
    x = 11,534.01

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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.