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Finding the Fourth Proportional to 7,662.28, 10,574.14 and 4,305.10

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Solution

The fourth proportional to 7,662.28, 10,574.14 and 4,305.10 is: 5,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.28 : 10,574.14 = 4,305.10 : x
  2. Step 2: Convert to fraction form
    7,662.28/10,574.14 = 4,305.10/x
  3. Step 3: Cross multiply
    7,662.28x = 10,574.14 × 4,305.10
  4. Step 4: Simplify right side
    7,662.28x = 45,522,730.11
  5. Step 5: Solve for x
    x = 45,522,730.11/7,662.28
  6. Step 6: Final answer
    x = 5,941.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.