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Finding the Fourth Proportional to 10,832.64, 16,250.88 and 4,078.08

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Solution

The fourth proportional to 10,832.64, 16,250.88 and 4,078.08 is: 6,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.64 : 16,250.88 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    10,832.64/16,250.88 = 4,078.08/x
  3. Step 3: Cross multiply
    10,832.64x = 16,250.88 × 4,078.08
  4. Step 4: Simplify right side
    10,832.64x = 66,272,388.71
  5. Step 5: Solve for x
    x = 66,272,388.71/10,832.64
  6. Step 6: Final answer
    x = 6,117.84

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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.