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Finding the Fourth Proportional to 10,356.84, 15,524.22 and 4,114.16

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Solution

The fourth proportional to 10,356.84, 15,524.22 and 4,114.16 is: 6,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.84 : 15,524.22 = 4,114.16 : x
  2. Step 2: Convert to fraction form
    10,356.84/15,524.22 = 4,114.16/x
  3. Step 3: Cross multiply
    10,356.84x = 15,524.22 × 4,114.16
  4. Step 4: Simplify right side
    10,356.84x = 63,869,124.96
  5. Step 5: Solve for x
    x = 63,869,124.96/10,356.84
  6. Step 6: Final answer
    x = 6,166.85

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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.