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Finding the Fourth Proportional to 10,740.36, 14,821.72 and 6,024.64

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Solution

The fourth proportional to 10,740.36, 14,821.72 and 6,024.64 is: 8,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.36 : 14,821.72 = 6,024.64 : x
  2. Step 2: Convert to fraction form
    10,740.36/14,821.72 = 6,024.64/x
  3. Step 3: Cross multiply
    10,740.36x = 14,821.72 × 6,024.64
  4. Step 4: Simplify right side
    10,740.36x = 89,295,527.18
  5. Step 5: Solve for x
    x = 89,295,527.18/10,740.36
  6. Step 6: Final answer
    x = 8,314.02

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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.