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Finding the Fourth Proportional to 10,689.57, 16,034.15 and 2,898.38

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Solution

The fourth proportional to 10,689.57, 16,034.15 and 2,898.38 is: 4,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.57 : 16,034.15 = 2,898.38 : x
  2. Step 2: Convert to fraction form
    10,689.57/16,034.15 = 2,898.38/x
  3. Step 3: Cross multiply
    10,689.57x = 16,034.15 × 2,898.38
  4. Step 4: Simplify right side
    10,689.57x = 46,473,107.01
  5. Step 5: Solve for x
    x = 46,473,107.01/10,689.57
  6. Step 6: Final answer
    x = 4,347.52

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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.