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Finding the Fourth Proportional to 10,682.26, 16,041.40 and 8,925.46

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Solution

The fourth proportional to 10,682.26, 16,041.40 and 8,925.46 is: 13,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.26 : 16,041.40 = 8,925.46 : x
  2. Step 2: Convert to fraction form
    10,682.26/16,041.40 = 8,925.46/x
  3. Step 3: Cross multiply
    10,682.26x = 16,041.40 × 8,925.46
  4. Step 4: Simplify right side
    10,682.26x = 143,176,874.04
  5. Step 5: Solve for x
    x = 143,176,874.04/10,682.26
  6. Step 6: Final answer
    x = 13,403.24

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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.