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Finding the Fourth Proportional to 10,898.83, 16,348.15 and 7,217.53

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Solution

The fourth proportional to 10,898.83, 16,348.15 and 7,217.53 is: 10,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.83 : 16,348.15 = 7,217.53 : x
  2. Step 2: Convert to fraction form
    10,898.83/16,348.15 = 7,217.53/x
  3. Step 3: Cross multiply
    10,898.83x = 16,348.15 × 7,217.53
  4. Step 4: Simplify right side
    10,898.83x = 117,993,263.07
  5. Step 5: Solve for x
    x = 117,993,263.07/10,898.83
  6. Step 6: Final answer
    x = 10,826.23

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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.