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Finding the Fourth Proportional to 11,577.88, 17,370.06 and 4,657.24

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Solution

The fourth proportional to 11,577.88, 17,370.06 and 4,657.24 is: 6,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.88 : 17,370.06 = 4,657.24 : x
  2. Step 2: Convert to fraction form
    11,577.88/17,370.06 = 4,657.24/x
  3. Step 3: Cross multiply
    11,577.88x = 17,370.06 × 4,657.24
  4. Step 4: Simplify right side
    11,577.88x = 80,896,538.23
  5. Step 5: Solve for x
    x = 80,896,538.23/11,577.88
  6. Step 6: Final answer
    x = 6,987.16

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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.