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Finding the Fourth Proportional to 10,740.42, 14,821.74 and 6,024.69

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Solution

The fourth proportional to 10,740.42, 14,821.74 and 6,024.69 is: 8,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.42 : 14,821.74 = 6,024.69 : x
  2. Step 2: Convert to fraction form
    10,740.42/14,821.74 = 6,024.69/x
  3. Step 3: Cross multiply
    10,740.42x = 14,821.74 × 6,024.69
  4. Step 4: Simplify right side
    10,740.42x = 89,296,388.76
  5. Step 5: Solve for x
    x = 89,296,388.76/10,740.42
  6. Step 6: Final answer
    x = 8,314.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.