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Finding the Fourth Proportional to 10,808.47, 16,207.17 and 4,960

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Solution

The fourth proportional to 10,808.47, 16,207.17 and 4,960 is: 7,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.47 : 16,207.17 = 4,960 : x
  2. Step 2: Convert to fraction form
    10,808.47/16,207.17 = 4,960/x
  3. Step 3: Cross multiply
    10,808.47x = 16,207.17 × 4,960
  4. Step 4: Simplify right side
    10,808.47x = 80,387,563.20
  5. Step 5: Solve for x
    x = 80,387,563.20/10,808.47
  6. Step 6: Final answer
    x = 7,437.46

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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.