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Finding the Fourth Proportional to 11,398.00, 17,097.87 and 3,077.90

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Solution

The fourth proportional to 11,398.00, 17,097.87 and 3,077.90 is: 4,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.00 : 17,097.87 = 3,077.90 : x
  2. Step 2: Convert to fraction form
    11,398.00/17,097.87 = 3,077.90/x
  3. Step 3: Cross multiply
    11,398.00x = 17,097.87 × 3,077.90
  4. Step 4: Simplify right side
    11,398.00x = 52,625,506.93
  5. Step 5: Solve for x
    x = 52,625,506.93/11,398.00
  6. Step 6: Final answer
    x = 4,617.08

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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.