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Finding the Fourth Proportional to 10,783.67, 14,879.21 and 6,306.55

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Solution

The fourth proportional to 10,783.67, 14,879.21 and 6,306.55 is: 8,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.67 : 14,879.21 = 6,306.55 : x
  2. Step 2: Convert to fraction form
    10,783.67/14,879.21 = 6,306.55/x
  3. Step 3: Cross multiply
    10,783.67x = 14,879.21 × 6,306.55
  4. Step 4: Simplify right side
    10,783.67x = 93,836,460.39
  5. Step 5: Solve for x
    x = 93,836,460.39/10,783.67
  6. Step 6: Final answer
    x = 8,701.72

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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.