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Finding the Fourth Proportional to 12,758.45, 17,607.02 and 7,723.58

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Solution

The fourth proportional to 12,758.45, 17,607.02 and 7,723.58 is: 10,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.45 : 17,607.02 = 7,723.58 : x
  2. Step 2: Convert to fraction form
    12,758.45/17,607.02 = 7,723.58/x
  3. Step 3: Cross multiply
    12,758.45x = 17,607.02 × 7,723.58
  4. Step 4: Simplify right side
    12,758.45x = 135,989,100.88
  5. Step 5: Solve for x
    x = 135,989,100.88/12,758.45
  6. Step 6: Final answer
    x = 10,658.75

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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.