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Finding the Fourth Proportional to 11,830.80, 17,730.42 and 4,427.76

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Solution

The fourth proportional to 11,830.80, 17,730.42 and 4,427.76 is: 6,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.80 : 17,730.42 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    11,830.80/17,730.42 = 4,427.76/x
  3. Step 3: Cross multiply
    11,830.80x = 17,730.42 × 4,427.76
  4. Step 4: Simplify right side
    11,830.80x = 78,506,044.46
  5. Step 5: Solve for x
    x = 78,506,044.46/11,830.80
  6. Step 6: Final answer
    x = 6,635.73

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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.