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Finding the Fourth Proportional to 10,255.65, 14,151.90 and 5,778.60

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Solution

The fourth proportional to 10,255.65, 14,151.90 and 5,778.60 is: 7,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.65 : 14,151.90 = 5,778.60 : x
  2. Step 2: Convert to fraction form
    10,255.65/14,151.90 = 5,778.60/x
  3. Step 3: Cross multiply
    10,255.65x = 14,151.90 × 5,778.60
  4. Step 4: Simplify right side
    10,255.65x = 81,778,169.34
  5. Step 5: Solve for x
    x = 81,778,169.34/10,255.65
  6. Step 6: Final answer
    x = 7,973.96

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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.