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Finding the Fourth Proportional to 7,627.81, 11,446.04 and 4,117.77

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Solution

The fourth proportional to 7,627.81, 11,446.04 and 4,117.77 is: 6,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.81 : 11,446.04 = 4,117.77 : x
  2. Step 2: Convert to fraction form
    7,627.81/11,446.04 = 4,117.77/x
  3. Step 3: Cross multiply
    7,627.81x = 11,446.04 × 4,117.77
  4. Step 4: Simplify right side
    7,627.81x = 47,132,160.13
  5. Step 5: Solve for x
    x = 47,132,160.13/7,627.81
  6. Step 6: Final answer
    x = 6,178.99

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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.