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Finding the Fourth Proportional to 10,728.81, 14,807.48 and 6,255.18

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Solution

The fourth proportional to 10,728.81, 14,807.48 and 6,255.18 is: 8,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.81 : 14,807.48 = 6,255.18 : x
  2. Step 2: Convert to fraction form
    10,728.81/14,807.48 = 6,255.18/x
  3. Step 3: Cross multiply
    10,728.81x = 14,807.48 × 6,255.18
  4. Step 4: Simplify right side
    10,728.81x = 92,623,421.47
  5. Step 5: Solve for x
    x = 92,623,421.47/10,728.81
  6. Step 6: Final answer
    x = 8,633.15

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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.