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Finding the Fourth Proportional to 10,777.67, 14,870.94 and 6,300.54

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Solution

The fourth proportional to 10,777.67, 14,870.94 and 6,300.54 is: 8,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.67 : 14,870.94 = 6,300.54 : x
  2. Step 2: Convert to fraction form
    10,777.67/14,870.94 = 6,300.54/x
  3. Step 3: Cross multiply
    10,777.67x = 14,870.94 × 6,300.54
  4. Step 4: Simplify right side
    10,777.67x = 93,694,952.31
  5. Step 5: Solve for x
    x = 93,694,952.31/10,777.67
  6. Step 6: Final answer
    x = 8,693.44

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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.