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Finding the Fourth Proportional to 10,689.65, 16,034.43 and 2,898.46

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Solution

The fourth proportional to 10,689.65, 16,034.43 and 2,898.46 is: 4,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.65 : 16,034.43 = 2,898.46 : x
  2. Step 2: Convert to fraction form
    10,689.65/16,034.43 = 2,898.46/x
  3. Step 3: Cross multiply
    10,689.65x = 16,034.43 × 2,898.46
  4. Step 4: Simplify right side
    10,689.65x = 46,475,131.64
  5. Step 5: Solve for x
    x = 46,475,131.64/10,689.65
  6. Step 6: Final answer
    x = 4,347.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.