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Finding the Fourth Proportional to 11,668.50, 17,510.04 and 4,743

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Solution

The fourth proportional to 11,668.50, 17,510.04 and 4,743 is: 7,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.50 : 17,510.04 = 4,743 : x
  2. Step 2: Convert to fraction form
    11,668.50/17,510.04 = 4,743/x
  3. Step 3: Cross multiply
    11,668.50x = 17,510.04 × 4,743
  4. Step 4: Simplify right side
    11,668.50x = 83,050,119.72
  5. Step 5: Solve for x
    x = 83,050,119.72/11,668.50
  6. Step 6: Final answer
    x = 7,117.46

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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.