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Finding the Fourth Proportional to 10,698.78, 16,049.37 and 2,907.66

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Solution

The fourth proportional to 10,698.78, 16,049.37 and 2,907.66 is: 4,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.78 : 16,049.37 = 2,907.66 : x
  2. Step 2: Convert to fraction form
    10,698.78/16,049.37 = 2,907.66/x
  3. Step 3: Cross multiply
    10,698.78x = 16,049.37 × 2,907.66
  4. Step 4: Simplify right side
    10,698.78x = 46,666,111.17
  5. Step 5: Solve for x
    x = 46,666,111.17/10,698.78
  6. Step 6: Final answer
    x = 4,361.82

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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.