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Finding the Fourth Proportional to 10,154.84, 15,220.08 and 5,226.80

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Solution

The fourth proportional to 10,154.84, 15,220.08 and 5,226.80 is: 7,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.84 : 15,220.08 = 5,226.80 : x
  2. Step 2: Convert to fraction form
    10,154.84/15,220.08 = 5,226.80/x
  3. Step 3: Cross multiply
    10,154.84x = 15,220.08 × 5,226.80
  4. Step 4: Simplify right side
    10,154.84x = 79,552,314.14
  5. Step 5: Solve for x
    x = 79,552,314.14/10,154.84
  6. Step 6: Final answer
    x = 7,833.93

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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.