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Finding the Fourth Proportional to 10,971.40, 16,457.10 and 9,761.80

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Solution

The fourth proportional to 10,971.40, 16,457.10 and 9,761.80 is: 14,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.40 : 16,457.10 = 9,761.80 : x
  2. Step 2: Convert to fraction form
    10,971.40/16,457.10 = 9,761.80/x
  3. Step 3: Cross multiply
    10,971.40x = 16,457.10 × 9,761.80
  4. Step 4: Simplify right side
    10,971.40x = 160,650,918.78
  5. Step 5: Solve for x
    x = 160,650,918.78/10,971.40
  6. Step 6: Final answer
    x = 14,642.70

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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.