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Finding the Fourth Proportional to 10,693.14, 16,037.88 and 2,900.13

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Solution

The fourth proportional to 10,693.14, 16,037.88 and 2,900.13 is: 4,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.14 : 16,037.88 = 2,900.13 : x
  2. Step 2: Convert to fraction form
    10,693.14/16,037.88 = 2,900.13/x
  3. Step 3: Cross multiply
    10,693.14x = 16,037.88 × 2,900.13
  4. Step 4: Simplify right side
    10,693.14x = 46,511,936.92
  5. Step 5: Solve for x
    x = 46,511,936.92/10,693.14
  6. Step 6: Final answer
    x = 4,349.70

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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.