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Finding the Fourth Proportional to 12,385.16, 17,091.51 and 7,080.09

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Solution

The fourth proportional to 12,385.16, 17,091.51 and 7,080.09 is: 9,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.16 : 17,091.51 = 7,080.09 : x
  2. Step 2: Convert to fraction form
    12,385.16/17,091.51 = 7,080.09/x
  3. Step 3: Cross multiply
    12,385.16x = 17,091.51 × 7,080.09
  4. Step 4: Simplify right side
    12,385.16x = 121,009,429.04
  5. Step 5: Solve for x
    x = 121,009,429.04/12,385.16
  6. Step 6: Final answer
    x = 9,770.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.