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Finding the Fourth Proportional to 11,802.60, 17,708 and 5,233.40

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Solution

The fourth proportional to 11,802.60, 17,708 and 5,233.40 is: 7,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.60 : 17,708 = 5,233.40 : x
  2. Step 2: Convert to fraction form
    11,802.60/17,708 = 5,233.40/x
  3. Step 3: Cross multiply
    11,802.60x = 17,708 × 5,233.40
  4. Step 4: Simplify right side
    11,802.60x = 92,673,047.20
  5. Step 5: Solve for x
    x = 92,673,047.20/11,802.60
  6. Step 6: Final answer
    x = 7,851.92

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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.