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Finding the Fourth Proportional to 10,842.93, 16,247.39 and 6,458.00

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Solution

The fourth proportional to 10,842.93, 16,247.39 and 6,458.00 is: 9,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.93 : 16,247.39 = 6,458.00 : x
  2. Step 2: Convert to fraction form
    10,842.93/16,247.39 = 6,458.00/x
  3. Step 3: Cross multiply
    10,842.93x = 16,247.39 × 6,458.00
  4. Step 4: Simplify right side
    10,842.93x = 104,925,531.09
  5. Step 5: Solve for x
    x = 104,925,531.09/10,842.93
  6. Step 6: Final answer
    x = 9,676.86

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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.