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Finding the Fourth Proportional to 7,165.28, 10,742.67 and 4,819.45

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Solution

The fourth proportional to 7,165.28, 10,742.67 and 4,819.45 is: 7,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.28 : 10,742.67 = 4,819.45 : x
  2. Step 2: Convert to fraction form
    7,165.28/10,742.67 = 4,819.45/x
  3. Step 3: Cross multiply
    7,165.28x = 10,742.67 × 4,819.45
  4. Step 4: Simplify right side
    7,165.28x = 51,773,734.07
  5. Step 5: Solve for x
    x = 51,773,734.07/7,165.28
  6. Step 6: Final answer
    x = 7,225.65

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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.