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Finding the Fourth Proportional to 10,834.51, 16,249.95 and 3,041.50

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Solution

The fourth proportional to 10,834.51, 16,249.95 and 3,041.50 is: 4,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.51 : 16,249.95 = 3,041.50 : x
  2. Step 2: Convert to fraction form
    10,834.51/16,249.95 = 3,041.50/x
  3. Step 3: Cross multiply
    10,834.51x = 16,249.95 × 3,041.50
  4. Step 4: Simplify right side
    10,834.51x = 49,424,222.93
  5. Step 5: Solve for x
    x = 49,424,222.93/10,834.51
  6. Step 6: Final answer
    x = 4,561.74

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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.