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Finding the Fourth Proportional to 7,767.96, 10,710.50 and 6,346.41

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Solution

The fourth proportional to 7,767.96, 10,710.50 and 6,346.41 is: 8,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.96 : 10,710.50 = 6,346.41 : x
  2. Step 2: Convert to fraction form
    7,767.96/10,710.50 = 6,346.41/x
  3. Step 3: Cross multiply
    7,767.96x = 10,710.50 × 6,346.41
  4. Step 4: Simplify right side
    7,767.96x = 67,973,224.31
  5. Step 5: Solve for x
    x = 67,973,224.31/7,767.96
  6. Step 6: Final answer
    x = 8,750.46

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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.