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Finding the Fourth Proportional to 11,762.10, 17,643.18 and 2,997.06

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Solution

The fourth proportional to 11,762.10, 17,643.18 and 2,997.06 is: 4,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 17,643.18 = 2,997.06 : x
  2. Step 2: Convert to fraction form
    11,762.10/17,643.18 = 2,997.06/x
  3. Step 3: Cross multiply
    11,762.10x = 17,643.18 × 2,997.06
  4. Step 4: Simplify right side
    11,762.10x = 52,877,669.05
  5. Step 5: Solve for x
    x = 52,877,669.05/11,762.10
  6. Step 6: Final answer
    x = 4,495.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.