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Finding the Fourth Proportional to 6,957.81, 10,417.88 and 5,094.81

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Solution

The fourth proportional to 6,957.81, 10,417.88 and 5,094.81 is: 7,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.81 : 10,417.88 = 5,094.81 : x
  2. Step 2: Convert to fraction form
    6,957.81/10,417.88 = 5,094.81/x
  3. Step 3: Cross multiply
    6,957.81x = 10,417.88 × 5,094.81
  4. Step 4: Simplify right side
    6,957.81x = 53,077,131.94
  5. Step 5: Solve for x
    x = 53,077,131.94/6,957.81
  6. Step 6: Final answer
    x = 7,628.43

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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.