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Finding the Fourth Proportional to 10,834.56, 14,950.17 and 6,053.40

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Solution

The fourth proportional to 10,834.56, 14,950.17 and 6,053.40 is: 8,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.56 : 14,950.17 = 6,053.40 : x
  2. Step 2: Convert to fraction form
    10,834.56/14,950.17 = 6,053.40/x
  3. Step 3: Cross multiply
    10,834.56x = 14,950.17 × 6,053.40
  4. Step 4: Simplify right side
    10,834.56x = 90,499,359.08
  5. Step 5: Solve for x
    x = 90,499,359.08/10,834.56
  6. Step 6: Final answer
    x = 8,352.84

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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.