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Finding the Fourth Proportional to 10,968.12, 16,455 and 6,290.34

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Solution

The fourth proportional to 10,968.12, 16,455 and 6,290.34 is: 9,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.12 : 16,455 = 6,290.34 : x
  2. Step 2: Convert to fraction form
    10,968.12/16,455 = 6,290.34/x
  3. Step 3: Cross multiply
    10,968.12x = 16,455 × 6,290.34
  4. Step 4: Simplify right side
    10,968.12x = 103,507,544.70
  5. Step 5: Solve for x
    x = 103,507,544.70/10,968.12
  6. Step 6: Final answer
    x = 9,437.13

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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.