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Finding the Fourth Proportional to 5,911.96, 8,141.70 and 5,894.14

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Solution

The fourth proportional to 5,911.96, 8,141.70 and 5,894.14 is: 8,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.96 : 8,141.70 = 5,894.14 : x
  2. Step 2: Convert to fraction form
    5,911.96/8,141.70 = 5,894.14/x
  3. Step 3: Cross multiply
    5,911.96x = 8,141.70 × 5,894.14
  4. Step 4: Simplify right side
    5,911.96x = 47,988,319.64
  5. Step 5: Solve for x
    x = 47,988,319.64/5,911.96
  6. Step 6: Final answer
    x = 8,117.16

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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.