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Finding the Fourth Proportional to 6,975.64, 10,459.96 and 2,295.11

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Solution

The fourth proportional to 6,975.64, 10,459.96 and 2,295.11 is: 3,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.64 : 10,459.96 = 2,295.11 : x
  2. Step 2: Convert to fraction form
    6,975.64/10,459.96 = 2,295.11/x
  3. Step 3: Cross multiply
    6,975.64x = 10,459.96 × 2,295.11
  4. Step 4: Simplify right side
    6,975.64x = 24,006,756.24
  5. Step 5: Solve for x
    x = 24,006,756.24/6,975.64
  6. Step 6: Final answer
    x = 3,441.51

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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.