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Finding the Fourth Proportional to 10,040.64, 13,846.53 and 6,677.61

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Solution

The fourth proportional to 10,040.64, 13,846.53 and 6,677.61 is: 9,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.64 : 13,846.53 = 6,677.61 : x
  2. Step 2: Convert to fraction form
    10,040.64/13,846.53 = 6,677.61/x
  3. Step 3: Cross multiply
    10,040.64x = 13,846.53 × 6,677.61
  4. Step 4: Simplify right side
    10,040.64x = 92,461,742.81
  5. Step 5: Solve for x
    x = 92,461,742.81/10,040.64
  6. Step 6: Final answer
    x = 9,208.75

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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.