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Finding the Fourth Proportional to 10,546.81, 14,540.82 and 9,070.58

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Solution

The fourth proportional to 10,546.81, 14,540.82 and 9,070.58 is: 12,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.81 : 14,540.82 = 9,070.58 : x
  2. Step 2: Convert to fraction form
    10,546.81/14,540.82 = 9,070.58/x
  3. Step 3: Cross multiply
    10,546.81x = 14,540.82 × 9,070.58
  4. Step 4: Simplify right side
    10,546.81x = 131,893,673.41
  5. Step 5: Solve for x
    x = 131,893,673.41/10,546.81
  6. Step 6: Final answer
    x = 12,505.55

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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.