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Finding the Fourth Proportional to 10,975.66, 16,458.92 and 6,809.42

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Solution

The fourth proportional to 10,975.66, 16,458.92 and 6,809.42 is: 10,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.66 : 16,458.92 = 6,809.42 : x
  2. Step 2: Convert to fraction form
    10,975.66/16,458.92 = 6,809.42/x
  3. Step 3: Cross multiply
    10,975.66x = 16,458.92 × 6,809.42
  4. Step 4: Simplify right side
    10,975.66x = 112,075,699.03
  5. Step 5: Solve for x
    x = 112,075,699.03/10,975.66
  6. Step 6: Final answer
    x = 10,211.29

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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.