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Finding the Fourth Proportional to 7,730.20, 11,595.30 and 3,842.20

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Solution

The fourth proportional to 7,730.20, 11,595.30 and 3,842.20 is: 5,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.20 : 11,595.30 = 3,842.20 : x
  2. Step 2: Convert to fraction form
    7,730.20/11,595.30 = 3,842.20/x
  3. Step 3: Cross multiply
    7,730.20x = 11,595.30 × 3,842.20
  4. Step 4: Simplify right side
    7,730.20x = 44,551,461.66
  5. Step 5: Solve for x
    x = 44,551,461.66/7,730.20
  6. Step 6: Final answer
    x = 5,763.30

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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.