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Finding the Fourth Proportional to 11,448.95, 17,180.04 and 6,184.06

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Solution

The fourth proportional to 11,448.95, 17,180.04 and 6,184.06 is: 9,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.95 : 17,180.04 = 6,184.06 : x
  2. Step 2: Convert to fraction form
    11,448.95/17,180.04 = 6,184.06/x
  3. Step 3: Cross multiply
    11,448.95x = 17,180.04 × 6,184.06
  4. Step 4: Simplify right side
    11,448.95x = 106,242,398.16
  5. Step 5: Solve for x
    x = 106,242,398.16/11,448.95
  6. Step 6: Final answer
    x = 9,279.66

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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.