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Finding the Fourth Proportional to 7,477.94, 10,308.29 and 6,149.34

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Solution

The fourth proportional to 7,477.94, 10,308.29 and 6,149.34 is: 8,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.94 : 10,308.29 = 6,149.34 : x
  2. Step 2: Convert to fraction form
    7,477.94/10,308.29 = 6,149.34/x
  3. Step 3: Cross multiply
    7,477.94x = 10,308.29 × 6,149.34
  4. Step 4: Simplify right side
    7,477.94x = 63,389,149.28
  5. Step 5: Solve for x
    x = 63,389,149.28/7,477.94
  6. Step 6: Final answer
    x = 8,476.82

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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.