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Finding the Fourth Proportional to 10,854.86, 16,302.35 and 6,499.09

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Solution

The fourth proportional to 10,854.86, 16,302.35 and 6,499.09 is: 9,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.86 : 16,302.35 = 6,499.09 : x
  2. Step 2: Convert to fraction form
    10,854.86/16,302.35 = 6,499.09/x
  3. Step 3: Cross multiply
    10,854.86x = 16,302.35 × 6,499.09
  4. Step 4: Simplify right side
    10,854.86x = 105,950,348.23
  5. Step 5: Solve for x
    x = 105,950,348.23/10,854.86
  6. Step 6: Final answer
    x = 9,760.64

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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.