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Finding the Fourth Proportional to 10,829.51, 14,951.61 and 8,844.80

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Solution

The fourth proportional to 10,829.51, 14,951.61 and 8,844.80 is: 12,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.51 : 14,951.61 = 8,844.80 : x
  2. Step 2: Convert to fraction form
    10,829.51/14,951.61 = 8,844.80/x
  3. Step 3: Cross multiply
    10,829.51x = 14,951.61 × 8,844.80
  4. Step 4: Simplify right side
    10,829.51x = 132,244,000.13
  5. Step 5: Solve for x
    x = 132,244,000.13/10,829.51
  6. Step 6: Final answer
    x = 12,211.45

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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.