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Finding the Fourth Proportional to 7,749.47, 10,693.62 and 4,917.31

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Solution

The fourth proportional to 7,749.47, 10,693.62 and 4,917.31 is: 6,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.47 : 10,693.62 = 4,917.31 : x
  2. Step 2: Convert to fraction form
    7,749.47/10,693.62 = 4,917.31/x
  3. Step 3: Cross multiply
    7,749.47x = 10,693.62 × 4,917.31
  4. Step 4: Simplify right side
    7,749.47x = 52,583,817.83
  5. Step 5: Solve for x
    x = 52,583,817.83/7,749.47
  6. Step 6: Final answer
    x = 6,785.47

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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.