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Finding the Fourth Proportional to 7,609.10, 10,505.74 and 4,926.80

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Solution

The fourth proportional to 7,609.10, 10,505.74 and 4,926.80 is: 6,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.10 : 10,505.74 = 4,926.80 : x
  2. Step 2: Convert to fraction form
    7,609.10/10,505.74 = 4,926.80/x
  3. Step 3: Cross multiply
    7,609.10x = 10,505.74 × 4,926.80
  4. Step 4: Simplify right side
    7,609.10x = 51,759,679.83
  5. Step 5: Solve for x
    x = 51,759,679.83/7,609.10
  6. Step 6: Final answer
    x = 6,802.34

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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.