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Finding the Fourth Proportional to 7,460.76, 11,179.62 and 4,719

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Solution

The fourth proportional to 7,460.76, 11,179.62 and 4,719 is: 7,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.76 : 11,179.62 = 4,719 : x
  2. Step 2: Convert to fraction form
    7,460.76/11,179.62 = 4,719/x
  3. Step 3: Cross multiply
    7,460.76x = 11,179.62 × 4,719
  4. Step 4: Simplify right side
    7,460.76x = 52,756,626.78
  5. Step 5: Solve for x
    x = 52,756,626.78/7,460.76
  6. Step 6: Final answer
    x = 7,071.21

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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.