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Finding the Fourth Proportional to 10,316.21, 14,181.63 and 8,875.32

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Solution

The fourth proportional to 10,316.21, 14,181.63 and 8,875.32 is: 12,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.21 : 14,181.63 = 8,875.32 : x
  2. Step 2: Convert to fraction form
    10,316.21/14,181.63 = 8,875.32/x
  3. Step 3: Cross multiply
    10,316.21x = 14,181.63 × 8,875.32
  4. Step 4: Simplify right side
    10,316.21x = 125,866,504.37
  5. Step 5: Solve for x
    x = 125,866,504.37/10,316.21
  6. Step 6: Final answer
    x = 12,200.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.