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Finding the Fourth Proportional to 7,735.10, 11,618.14 and 4,621.20

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Solution

The fourth proportional to 7,735.10, 11,618.14 and 4,621.20 is: 6,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.10 : 11,618.14 = 4,621.20 : x
  2. Step 2: Convert to fraction form
    7,735.10/11,618.14 = 4,621.20/x
  3. Step 3: Cross multiply
    7,735.10x = 11,618.14 × 4,621.20
  4. Step 4: Simplify right side
    7,735.10x = 53,689,748.57
  5. Step 5: Solve for x
    x = 53,689,748.57/7,735.10
  6. Step 6: Final answer
    x = 6,941.05

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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.