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Finding the Fourth Proportional to 10,362.84, 15,551.42 and 4,122.20

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Solution

The fourth proportional to 10,362.84, 15,551.42 and 4,122.20 is: 6,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.84 : 15,551.42 = 4,122.20 : x
  2. Step 2: Convert to fraction form
    10,362.84/15,551.42 = 4,122.20/x
  3. Step 3: Cross multiply
    10,362.84x = 15,551.42 × 4,122.20
  4. Step 4: Simplify right side
    10,362.84x = 64,106,063.52
  5. Step 5: Solve for x
    x = 64,106,063.52/10,362.84
  6. Step 6: Final answer
    x = 6,186.15

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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.