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Finding the Fourth Proportional to 11,762.10, 17,642.78 and 3,970.26

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Solution

The fourth proportional to 11,762.10, 17,642.78 and 3,970.26 is: 5,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 17,642.78 = 3,970.26 : x
  2. Step 2: Convert to fraction form
    11,762.10/17,642.78 = 3,970.26/x
  3. Step 3: Cross multiply
    11,762.10x = 17,642.78 × 3,970.26
  4. Step 4: Simplify right side
    11,762.10x = 70,046,423.72
  5. Step 5: Solve for x
    x = 70,046,423.72/11,762.10
  6. Step 6: Final answer
    x = 5,955.27

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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.