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Finding the Fourth Proportional to 7,475.68, 11,210.90 and 2,209.28

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Solution

The fourth proportional to 7,475.68, 11,210.90 and 2,209.28 is: 3,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.68 : 11,210.90 = 2,209.28 : x
  2. Step 2: Convert to fraction form
    7,475.68/11,210.90 = 2,209.28/x
  3. Step 3: Cross multiply
    7,475.68x = 11,210.90 × 2,209.28
  4. Step 4: Simplify right side
    7,475.68x = 24,768,017.15
  5. Step 5: Solve for x
    x = 24,768,017.15/7,475.68
  6. Step 6: Final answer
    x = 3,313.15

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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.