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Finding the Fourth Proportional to 11,577.18, 17,389.04 and 6,906.32

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Solution

The fourth proportional to 11,577.18, 17,389.04 and 6,906.32 is: 10,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.18 : 17,389.04 = 6,906.32 : x
  2. Step 2: Convert to fraction form
    11,577.18/17,389.04 = 6,906.32/x
  3. Step 3: Cross multiply
    11,577.18x = 17,389.04 × 6,906.32
  4. Step 4: Simplify right side
    11,577.18x = 120,094,153.26
  5. Step 5: Solve for x
    x = 120,094,153.26/11,577.18
  6. Step 6: Final answer
    x = 10,373.35

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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.