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Finding the Fourth Proportional to 12,904.20, 17,808.12 and 7,868.70

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Solution

The fourth proportional to 12,904.20, 17,808.12 and 7,868.70 is: 10,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.20 : 17,808.12 = 7,868.70 : x
  2. Step 2: Convert to fraction form
    12,904.20/17,808.12 = 7,868.70/x
  3. Step 3: Cross multiply
    12,904.20x = 17,808.12 × 7,868.70
  4. Step 4: Simplify right side
    12,904.20x = 140,126,753.84
  5. Step 5: Solve for x
    x = 140,126,753.84/12,904.20
  6. Step 6: Final answer
    x = 10,859.00

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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.