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Finding the Fourth Proportional to 11,762.65, 17,643.98 and 3,971.35

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Solution

The fourth proportional to 11,762.65, 17,643.98 and 3,971.35 is: 5,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.65 : 17,643.98 = 3,971.35 : x
  2. Step 2: Convert to fraction form
    11,762.65/17,643.98 = 3,971.35/x
  3. Step 3: Cross multiply
    11,762.65x = 17,643.98 × 3,971.35
  4. Step 4: Simplify right side
    11,762.65x = 70,070,419.97
  5. Step 5: Solve for x
    x = 70,070,419.97/11,762.65
  6. Step 6: Final answer
    x = 5,957.03

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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.