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Finding the Fourth Proportional to 10,423.84, 15,626.04 and 3,848.26

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Solution

The fourth proportional to 10,423.84, 15,626.04 and 3,848.26 is: 5,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.84 : 15,626.04 = 3,848.26 : x
  2. Step 2: Convert to fraction form
    10,423.84/15,626.04 = 3,848.26/x
  3. Step 3: Cross multiply
    10,423.84x = 15,626.04 × 3,848.26
  4. Step 4: Simplify right side
    10,423.84x = 60,133,064.69
  5. Step 5: Solve for x
    x = 60,133,064.69/10,423.84
  6. Step 6: Final answer
    x = 5,768.80

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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.