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Finding the Fourth Proportional to 11,577.13, 17,368.94 and 4,656.49

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Solution

The fourth proportional to 11,577.13, 17,368.94 and 4,656.49 is: 6,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.13 : 17,368.94 = 4,656.49 : x
  2. Step 2: Convert to fraction form
    11,577.13/17,368.94 = 4,656.49/x
  3. Step 3: Cross multiply
    11,577.13x = 17,368.94 × 4,656.49
  4. Step 4: Simplify right side
    11,577.13x = 80,878,272.14
  5. Step 5: Solve for x
    x = 80,878,272.14/11,577.13
  6. Step 6: Final answer
    x = 6,986.04

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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.