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Finding the Fourth Proportional to 12,175.83, 16,802.48 and 6,798.35

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Solution

The fourth proportional to 12,175.83, 16,802.48 and 6,798.35 is: 9,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.83 : 16,802.48 = 6,798.35 : x
  2. Step 2: Convert to fraction form
    12,175.83/16,802.48 = 6,798.35/x
  3. Step 3: Cross multiply
    12,175.83x = 16,802.48 × 6,798.35
  4. Step 4: Simplify right side
    12,175.83x = 114,229,101.03
  5. Step 5: Solve for x
    x = 114,229,101.03/12,175.83
  6. Step 6: Final answer
    x = 9,381.63

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