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Finding the Fourth Proportional to 10,886.48, 16,321.12 and 4,647.52

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Solution

The fourth proportional to 10,886.48, 16,321.12 and 4,647.52 is: 6,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.48 : 16,321.12 = 4,647.52 : x
  2. Step 2: Convert to fraction form
    10,886.48/16,321.12 = 4,647.52/x
  3. Step 3: Cross multiply
    10,886.48x = 16,321.12 × 4,647.52
  4. Step 4: Simplify right side
    10,886.48x = 75,852,731.62
  5. Step 5: Solve for x
    x = 75,852,731.62/10,886.48
  6. Step 6: Final answer
    x = 6,967.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.