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Finding the Fourth Proportional to 11,457.80, 17,188.48 and 4,884

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Solution

The fourth proportional to 11,457.80, 17,188.48 and 4,884 is: 7,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.80 : 17,188.48 = 4,884 : x
  2. Step 2: Convert to fraction form
    11,457.80/17,188.48 = 4,884/x
  3. Step 3: Cross multiply
    11,457.80x = 17,188.48 × 4,884
  4. Step 4: Simplify right side
    11,457.80x = 83,948,536.32
  5. Step 5: Solve for x
    x = 83,948,536.32/11,457.80
  6. Step 6: Final answer
    x = 7,326.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.