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Finding the Fourth Proportional to 12,782.32, 17,638.58 and 7,116.64

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Solution

The fourth proportional to 12,782.32, 17,638.58 and 7,116.64 is: 9,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.32 : 17,638.58 = 7,116.64 : x
  2. Step 2: Convert to fraction form
    12,782.32/17,638.58 = 7,116.64/x
  3. Step 3: Cross multiply
    12,782.32x = 17,638.58 × 7,116.64
  4. Step 4: Simplify right side
    12,782.32x = 125,527,423.97
  5. Step 5: Solve for x
    x = 125,527,423.97/12,782.32
  6. Step 6: Final answer
    x = 9,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.