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Finding the Fourth Proportional to 11,401.66, 17,088.51 and 6,475.44

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Solution

The fourth proportional to 11,401.66, 17,088.51 and 6,475.44 is: 9,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.66 : 17,088.51 = 6,475.44 : x
  2. Step 2: Convert to fraction form
    11,401.66/17,088.51 = 6,475.44/x
  3. Step 3: Cross multiply
    11,401.66x = 17,088.51 × 6,475.44
  4. Step 4: Simplify right side
    11,401.66x = 110,655,621.19
  5. Step 5: Solve for x
    x = 110,655,621.19/11,401.66
  6. Step 6: Final answer
    x = 9,705.22

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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.