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Finding the Fourth Proportional to 11,907.80, 16,433.16 and 7,191.14

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Solution

The fourth proportional to 11,907.80, 16,433.16 and 7,191.14 is: 9,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.80 : 16,433.16 = 7,191.14 : x
  2. Step 2: Convert to fraction form
    11,907.80/16,433.16 = 7,191.14/x
  3. Step 3: Cross multiply
    11,907.80x = 16,433.16 × 7,191.14
  4. Step 4: Simplify right side
    11,907.80x = 118,173,154.20
  5. Step 5: Solve for x
    x = 118,173,154.20/11,907.80
  6. Step 6: Final answer
    x = 9,924.01

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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.