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Finding the Fourth Proportional to 10,842.54, 14,964.93 and 6,368.64

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Solution

The fourth proportional to 10,842.54, 14,964.93 and 6,368.64 is: 8,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.54 : 14,964.93 = 6,368.64 : x
  2. Step 2: Convert to fraction form
    10,842.54/14,964.93 = 6,368.64/x
  3. Step 3: Cross multiply
    10,842.54x = 14,964.93 × 6,368.64
  4. Step 4: Simplify right side
    10,842.54x = 95,306,251.80
  5. Step 5: Solve for x
    x = 95,306,251.80/10,842.54
  6. Step 6: Final answer
    x = 8,790.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.