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Finding the Fourth Proportional to 11,577.12, 17,368.08 and 4,652.16

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Solution

The fourth proportional to 11,577.12, 17,368.08 and 4,652.16 is: 6,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.12 : 17,368.08 = 4,652.16 : x
  2. Step 2: Convert to fraction form
    11,577.12/17,368.08 = 4,652.16/x
  3. Step 3: Cross multiply
    11,577.12x = 17,368.08 × 4,652.16
  4. Step 4: Simplify right side
    11,577.12x = 80,799,087.05
  5. Step 5: Solve for x
    x = 80,799,087.05/11,577.12
  6. Step 6: Final answer
    x = 6,979.20

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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.