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Finding the Fourth Proportional to 11,417.01, 17,097.83 and 7,897.13

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Solution

The fourth proportional to 11,417.01, 17,097.83 and 7,897.13 is: 11,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.01 : 17,097.83 = 7,897.13 : x
  2. Step 2: Convert to fraction form
    11,417.01/17,097.83 = 7,897.13/x
  3. Step 3: Cross multiply
    11,417.01x = 17,097.83 × 7,897.13
  4. Step 4: Simplify right side
    11,417.01x = 135,023,819.10
  5. Step 5: Solve for x
    x = 135,023,819.10/11,417.01
  6. Step 6: Final answer
    x = 11,826.55

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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.