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Finding the Fourth Proportional to 6,712.43, 10,068.84 and 1,782.08

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Solution

The fourth proportional to 6,712.43, 10,068.84 and 1,782.08 is: 2,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.43 : 10,068.84 = 1,782.08 : x
  2. Step 2: Convert to fraction form
    6,712.43/10,068.84 = 1,782.08/x
  3. Step 3: Cross multiply
    6,712.43x = 10,068.84 × 1,782.08
  4. Step 4: Simplify right side
    6,712.43x = 17,943,428.04
  5. Step 5: Solve for x
    x = 17,943,428.04/6,712.43
  6. Step 6: Final answer
    x = 2,673.16

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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.