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Finding the Fourth Proportional to 11,907.86, 16,433.10 and 6,530.42

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Solution

The fourth proportional to 11,907.86, 16,433.10 and 6,530.42 is: 9,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.86 : 16,433.10 = 6,530.42 : x
  2. Step 2: Convert to fraction form
    11,907.86/16,433.10 = 6,530.42/x
  3. Step 3: Cross multiply
    11,907.86x = 16,433.10 × 6,530.42
  4. Step 4: Simplify right side
    11,907.86x = 107,315,085.98
  5. Step 5: Solve for x
    x = 107,315,085.98/11,907.86
  6. Step 6: Final answer
    x = 9,012.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.