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Finding the Fourth Proportional to 7,609.70, 10,499.46 and 4,465.28

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Solution

The fourth proportional to 7,609.70, 10,499.46 and 4,465.28 is: 6,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.70 : 10,499.46 = 4,465.28 : x
  2. Step 2: Convert to fraction form
    7,609.70/10,499.46 = 4,465.28/x
  3. Step 3: Cross multiply
    7,609.70x = 10,499.46 × 4,465.28
  4. Step 4: Simplify right side
    7,609.70x = 46,883,028.75
  5. Step 5: Solve for x
    x = 46,883,028.75/7,609.70
  6. Step 6: Final answer
    x = 6,160.96

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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.