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Finding the Fourth Proportional to 10,403.68, 14,357.10 and 6,423.88

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Solution

The fourth proportional to 10,403.68, 14,357.10 and 6,423.88 is: 8,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.68 : 14,357.10 = 6,423.88 : x
  2. Step 2: Convert to fraction form
    10,403.68/14,357.10 = 6,423.88/x
  3. Step 3: Cross multiply
    10,403.68x = 14,357.10 × 6,423.88
  4. Step 4: Simplify right side
    10,403.68x = 92,228,287.55
  5. Step 5: Solve for x
    x = 92,228,287.55/10,403.68
  6. Step 6: Final answer
    x = 8,864.97

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