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Finding the Fourth Proportional to 10,632.52, 14,676.96 and 7,987.60

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Solution

The fourth proportional to 10,632.52, 14,676.96 and 7,987.60 is: 11,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.52 : 14,676.96 = 7,987.60 : x
  2. Step 2: Convert to fraction form
    10,632.52/14,676.96 = 7,987.60/x
  3. Step 3: Cross multiply
    10,632.52x = 14,676.96 × 7,987.60
  4. Step 4: Simplify right side
    10,632.52x = 117,233,685.70
  5. Step 5: Solve for x
    x = 117,233,685.70/10,632.52
  6. Step 6: Final answer
    x = 11,025.95

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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.