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Finding the Fourth Proportional to 10,415.18, 15,624.60 and 3,841.43

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Solution

The fourth proportional to 10,415.18, 15,624.60 and 3,841.43 is: 5,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.18 : 15,624.60 = 3,841.43 : x
  2. Step 2: Convert to fraction form
    10,415.18/15,624.60 = 3,841.43/x
  3. Step 3: Cross multiply
    10,415.18x = 15,624.60 × 3,841.43
  4. Step 4: Simplify right side
    10,415.18x = 60,020,714.65
  5. Step 5: Solve for x
    x = 60,020,714.65/10,415.18
  6. Step 6: Final answer
    x = 5,762.81

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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.