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Finding the Fourth Proportional to 12,873.58, 17,767.03 and 7,840.75

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Solution

The fourth proportional to 12,873.58, 17,767.03 and 7,840.75 is: 10,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.58 : 17,767.03 = 7,840.75 : x
  2. Step 2: Convert to fraction form
    12,873.58/17,767.03 = 7,840.75/x
  3. Step 3: Cross multiply
    12,873.58x = 17,767.03 × 7,840.75
  4. Step 4: Simplify right side
    12,873.58x = 139,306,840.47
  5. Step 5: Solve for x
    x = 139,306,840.47/12,873.58
  6. Step 6: Final answer
    x = 10,821.14

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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.