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Finding the Fourth Proportional to 11,577.01, 17,368.84 and 4,910.08

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Solution

The fourth proportional to 11,577.01, 17,368.84 and 4,910.08 is: 7,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.01 : 17,368.84 = 4,910.08 : x
  2. Step 2: Convert to fraction form
    11,577.01/17,368.84 = 4,910.08/x
  3. Step 3: Cross multiply
    11,577.01x = 17,368.84 × 4,910.08
  4. Step 4: Simplify right side
    11,577.01x = 85,282,420.52
  5. Step 5: Solve for x
    x = 85,282,420.52/11,577.01
  6. Step 6: Final answer
    x = 7,366.53

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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.