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Finding the Fourth Proportional to 12,840.68, 17,714.94 and 7,803.02

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Solution

The fourth proportional to 12,840.68, 17,714.94 and 7,803.02 is: 10,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.68 : 17,714.94 = 7,803.02 : x
  2. Step 2: Convert to fraction form
    12,840.68/17,714.94 = 7,803.02/x
  3. Step 3: Cross multiply
    12,840.68x = 17,714.94 × 7,803.02
  4. Step 4: Simplify right side
    12,840.68x = 138,230,031.12
  5. Step 5: Solve for x
    x = 138,230,031.12/12,840.68
  6. Step 6: Final answer
    x = 10,765.01

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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.