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Finding the Fourth Proportional to 10,971.60, 16,457.40 and 5,128.80

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Solution

The fourth proportional to 10,971.60, 16,457.40 and 5,128.80 is: 7,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 16,457.40 = 5,128.80 : x
  2. Step 2: Convert to fraction form
    10,971.60/16,457.40 = 5,128.80/x
  3. Step 3: Cross multiply
    10,971.60x = 16,457.40 × 5,128.80
  4. Step 4: Simplify right side
    10,971.60x = 84,406,713.12
  5. Step 5: Solve for x
    x = 84,406,713.12/10,971.60
  6. Step 6: Final answer
    x = 7,693.20

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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.