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Finding the Fourth Proportional to 10,412.97, 15,623.30 and 4,868.11

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Solution

The fourth proportional to 10,412.97, 15,623.30 and 4,868.11 is: 7,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.97 : 15,623.30 = 4,868.11 : x
  2. Step 2: Convert to fraction form
    10,412.97/15,623.30 = 4,868.11/x
  3. Step 3: Cross multiply
    10,412.97x = 15,623.30 × 4,868.11
  4. Step 4: Simplify right side
    10,412.97x = 76,055,942.96
  5. Step 5: Solve for x
    x = 76,055,942.96/10,412.97
  6. Step 6: Final answer
    x = 7,303.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.